Practice Test

Q1) The angle of 1'' (one second) in radians is Show Answer

Q2) The distance at which average radius of earth's orbit subtends an angle of 1 arc second is called Show Answer

Q3) The parameter which is a measure of how close the measured value is to the true value of the quantity is called Show Answer

Q4) The error associated with the resolution of an instrument is Show Answer

Q5) Significant figures indicate the ________ of measurement. Show Answer

Q6) Each side of a cube is measured to be 7.203 m. The total surface area and the volume of the cube to appropriate significant figures are Show Answer

Q7) The volume of a cube of side 1 cm is equal to ________ . Show Answer

Q8) The surface area of a solid cylinder of radius 2.0 cm and height 10.0 cm is equal to ________. Show Answer

Q9) 1 m = __________ ly Show Answer

Q10) A new unit of length is chosen such that the speed of light in vacuum is unity. The distance between the sun and the earth in terms of the new unit if light takes 8 min and 20 s to cover this distance is Show Answer

Q11) A SONAR (sound navigation and ranging) uses ultrasonic waves to detect and locate objects under water. In a submarine equipped with a sonar the time delay between generation of a probe wave and the reception of its echo after reflection from an enemy submarine is found to be 77.0 s. What is the distance of the enemy submarine? Show Answer

Q12) The mass of a box measured by a grocer's balance is 2.3 kg. Two gold piece of masses 20.15 g and 20.17 g are added to the box. What is (i) the toal mass of the box and (ii) the difference in the masses of the piece to correct significant figures Show Answer

Q13) A book with many printing erros contains four different formula for the displacement y of a particle undergoing a certain periodic motion. Rule out the wrong formula on dimensional ground. (a = maximum displacement of the particle,
v = speed of the particle,
T = time period of motion) Show Answer

Q14) The size of a hydrogen atom is about 0.5 A. The total atomic volume of a mole of hydrogen atoms is Show Answer

Q15) SI unit of surface tension is Show Answer

Q16) Which one of the following is NOT a unit of time? Show Answer

Q17) The SI unit of electric field strength is Show Answer

Q18) Dimensional formula for the angle of contact is Show Answer

Q19) Dimensional formula of angular velocity is Show Answer

Q20) The dimensional formula of angular momentum is Show Answer

Q21) Specific gravity has .... Dimensions in mass, ... Dimensions in length and .... Dimensions in time. Show Answer

Q22) The unit of impluse is the same as that of Show Answer

Q23) The SI unit of magnetic flux is Show Answer

Q24) SI unit of molar gas constant is Show Answer

Q25) Which of the following is not a unit of energy? Show Answer

Q26) The dimensional formula of 'time constant' L/R during growth and decay of current in an inductive circuit is same as that of Show Answer

Q27) If 'C' denotes the capacitance and L denotes the inductance, then the dimensional formula of LC is Show Answer

Q28) The curie is a unit used for the measurement of Show Answer

Q29) Consider a new system of units in which c (speed of light in vacuum), h (Planck's constant) and G (gravitational constant) are taken as fundamental units. Which of the following would correclty represent mass in this new system? Show Answer

Q30) The dimensional formula of self - inductance is Show Answer

Q31) If time T, acceleration A and force F are regarded as base units, then the dimensional formula of work is Show Answer

Q32) Which of the following mathematical expressions is not meaningful according to principle of homogeneity of dimensions? Show Answer

Q33) The dimensions of specific heat capacity are Show Answer

Q34) Which of the following has the dimensions of pressure? Show Answer

Q35) The dimensional formula for root mean square velocity is Show Answer

Q36) One horse power is equal to Show Answer

Q37) One X-ray unit is equal to Show Answer

Q38) The dimensional formula for Rydberg constant is Show Answer

Q39) The dimenstional formula of latent heat is Show Answer

Q40) The dimensional formula of magnetic moment of a current carrying coil is Show Answer

Q41) Linear momentum and angular momentum have the same dimensions in Show Answer

Q42) The SI unit of potential energy is Show Answer

Q43) Consider the following statments about dimensions
P : Force = Acceleration due to gravity x mass
Q : Electric charge = current x time
R : Magnetic flux = Electric voltage x time
The correct statements are Show Answer

Q44) Force constant has the same dimensions as Show Answer

Q45) Statement 1 : Dimensionless quantities have no units.
Statement 2 : Unitless quantities have no dimensions. Show Answer

Q46) Statement - 1 : If two quantities have same dimensions, they represent the same physical content.
Statement - 2 : Physical quantities have a single dimensional formula. Show Answer

Q47) The percentage error in the measurement of extension by the micrometer is Show Answer

Q48) Let R be the resolution of a particular measuring instrument in the above experiment, then select the correct alternative. Show Answer

Q49) The maximum percentage error in the calculation of Young's modulus is Show Answer

Q50) Which of the following represents correct dimensions of the coefficient of viscosity ? Show Answer

Q51) Dimensions of universal constant of gravitation is Show Answer

Q52) The unit of plane angle is radian, hence its dimensions are Show Answer

Q53) Using the principle of homogeneity of dimensions, find which of the following relation is correct ? Show Answer

Q54) The radius of the earth is 6400 km, the order of magnitude is Show Answer

Q55) One micron is related to centimeter as Show Answer

Q56) If momentum (P), area (A) and time(T) are assumed to be fundamental quantities, then energy has dimensional formula Show Answer

Q57) The number of seconds in a day and expressed it in order of magnitude are Show Answer

Q58) If the unit of length is halved and that of mass is doubled then dimensions of force is Show Answer

Q59) The atomic , molecular and nuclear phenomenon are the parts of _____ domain. Show Answer

Q60) Maxwell's equation relate to Show Answer

Q61) _____ is needed for the experimental verification of various theories. Show Answer

Q62) The reference standard used for the measurement of a physical quantity is called Show Answer

Q63) Which of the following is NOT a characteristic of a good unit ? Show Answer

Q64) Units are classified into ___ groups. Show Answer

Q65) F.P.S means Show Answer

Q66) A set of fundamental and derived units is known as Show Answer

Q67) ______ is the unit for mass in metric or M.K.S system. Show Answer

Q68) S.I system of unit contain ____ supplementary unit. Show Answer

Q69) In which of the following system, scientific data can be exchanged between different parts of the world ? Show Answer

Q70) Out of the following units, which is NOT a fundamental unit ? Show Answer

Q71) Which of the following is NOT a derived unit ? Show Answer

Q72) Which of the following is the CORRECT way of writing units ? Show Answer

Q73) To measure the distance of a planet from the earth ____ method is used. Show Answer

Q74) The mass of the body depends only on Show Answer

Q75) In cesium atomic clock _____ is used. Show Answer

Q76) A ____ is the interval from one noon to the next noon. Show Answer

Q77) Light year is a unit for the measurement of Show Answer

Q78) Which of the following quantity is expressed as force per unit area ? Show Answer

Q79) The SI unit of luminous intensity is Show Answer

Q80) Which of the following is a supplementary unit ? Show Answer

Q81) Out of the following pair, which one does NOT have identical dimensions ? Show Answer

Q82) Which of the following equation is dimensionally correct ? Show Answer

Q83) If the unit of length and force are increased to four times, how many times the unit of energy will increase ? Show Answer

Q84) The dimensional formula for impulse is the same as dimensional formula for Show Answer

Q85) Checking the correctness of physical equations using the method of dimensions is based on Show Answer

Q86) A unitless quantity Show Answer

Q87) Which of the following is NOT dimensionless quantity ? Show Answer

Q88) Dimensional equation CANNOT be used Show Answer

Q89) The value of the magnitude rounded off to the nearest integral power of 10 is called Show Answer

Q90) Figure which is of some significance but it does not necessarily denote certainty is defined as Show Answer

Q91) The number of significant figures in 0.0009 is Show Answer

Q92) The number of significant figures in 0.400 is Show Answer

Q93) The order of magnitude of 4.9 and 5.1 are Show Answer

Q94) Significant figures depends upon the ______ of the measuring instrument. Show Answer

Q95) The difference between the true value and measured value is called Show Answer

Q96) If the pointer of the voltmeter is not exactly at the zero of the scale, the error is called Show Answer

Q97) Accidental error can be minimized by Show Answer

Q98) Instrumental error can be caused due to Show Answer

Q99) Error due to non-removal of parallax between pointer and its image in case of magnetic compass needle causes Show Answer

Q100) Instrumental error can be minimized by Show Answer

Q101) The magnitude of the difference between mean value and each individual value is called Show Answer

Q102) Estimate the mean absolute error from the following data.
20.17, 21.23, 20.79, 22.07, 21.78 Show Answer

Q103) The least count of a screw gauge is 0.005 cm. The diameter of a wire is 0.020 cm as measured by it. The percentage error in measurement is Show Answer

Q104) The percentage error in the measurement of radius r of a sphere is 0.1% then the percentage error introduced in the measurement of volume is Show Answer

Q105) The percentage error in the measurement of mass of a body is 0.75% and the percentage error in the measurement of its speed is 1.85%. Then the percentage error in the measurement of its kinetic energy is Show Answer

Q106) Thickness of the paper measured by micrometer screw gauge of least count 0.01 mm is 1.03 mm, the percentage error in the measurement of thickness of paper is Show Answer

Q107) Zero error of an instrument introduces Show Answer

Q108) The physical quantity having the same unit in all the systems of unit is Show Answer

Q109) State the number of significant figures in 6.032 J Show Answer

Q110) The number of significant figures in 0.0500 is Show Answer

Q111) In the reading 2.614 cm of measurement, only uncertain figure is Show Answer

Q112) The answer of (9.15 + 3.8) with due regards to significant figure is Show Answer

Q113) Who gave the quantum model of an atom ?
Show Answer

Q114) Which of the following set have different dimensions ?
Show Answer

Q115) which of the following pairs of physical quantities has different dimensions? Show Answer

Q116) If L and R denote inductance and resistance, the dimensions of L/R are: Show Answer

Q117) Which of the following pairs does not have same dimensions? Show Answer

Q118) The dimensional representation for Stefan's constant is: Show Answer

Q119) The density of a cube is measured by measuring its mass and length of side. If the maximum error in their measurement is 3% and 2% respectively, the maximum error in the measurement of density is: Show Answer

Q120) The percentage error in measurement of length and time period is 2% and 1% respectively. The % error in measurement of g is: Show Answer

Q121) Error in the measurement of radius of sphere is 1%, the error in the measurement of volume is: Show Answer

Q122) The percentage errors in the measurement of mass and speed are 2% and 3% respectively, how much will be the maximum error in the measurement of K.E.? Show Answer

Q123) If force, length and time are the fundamental units, then the dimensional formula for mass would be: Show Answer

Q124) Which of the following represents a unified atomic mass unit (1u) ? Show Answer

Q125) The formula for percentage error is : Show Answer

Q126) If the period of vibration of the prongs of fork depends upon density of the material,Young's modulus and the length of the prongs, the expression of time period is (K is a constant ): Show Answer

Q127) Light year is a unit of Show Answer

Q128) The magnitude of any physical quantity Show Answer

Q129) Which of the following is not equal to watt? Show Answer

Q130) Newton-second is the unit of Show Answer

Q131) Which of the following is not represented in correct unit? Show Answer

Q132) One second is equal to Show Answer

Q133) One nanometre is equal to Show Answer

Q134) A micron is related to centimetre as Show Answer

Q135) The unit of power is Show Answer

Q136) SI unit of pressure is Show Answer

Q137) The unit of angular acceleration in the SI system is Show Answer

Q138) Which of the following is not a unit of energy Show Answer

Q139) Joule-second is the unit of Show Answer

Q140) Unit of energy in SI system is Show Answer

Q141) Wavelength of ray of light is 0.00006 m. It is equal to Show Answer

Q142) Electron volt is a unit of Show Answer

Q143) Temperature can be expressed as a derived quantity in terms of any of the following Show Answer

Q144) Unit of power is Show Answer

Q145) Density of wood is 0.5 gm/cc in the CGS system of units. The corresponding value in MKS units is Show Answer

Q146) Unit of energy is Show Answer

Q147) Which is the correct unit for measuring nuclear radii? Show Answer

Q148) One Mach number is equal to Show Answer

Q149) Volt/metre is the unit of Show Answer

Q150) The unit of surface tension in SI system is Show Answer

Q151) The unit of self inductance of a coil is Show Answer

Q152) One million electron volt (1 MeV) is equal to Show Answer

Q153) The unit of potential energy is Show Answer

Q154) Which of the following represents a volt Show Answer

Q155) Kilowatt-hour is a unit of Show Answer

Q156) What is the SI unit of permeability Show Answer

Q157) In which of the following systems of unit, Weber is the unit of magnetic flux Show Answer

Q158) Tesla is a unit for measuring Show Answer

Q159) If the unit of length and force be increased four times, then the unit of energy is Show Answer

Q160) Oersted is a unit of Show Answer

Q161) The unit of specific resistance is Show Answer

Q162) The binding energy of a nucleon in a nucleus is of the order of a few Show Answer

Q163) Par-sec is a unit of Show Answer

Q164) 1eV is Show Answer

Q165) 1kWh = Show Answer

Q166) Universal time is based on Show Answer

Q167) The nuclear cross-section is measured in barn, it is equal to Show Answer

Q168) Unit of moment of inertia in MKS system Show Answer

Q169) Unit of stress is Show Answer

Q170) Unit of Stefan's constant is Show Answer

Q171) Unit of magnetic moment is Show Answer

Q172) Curie is a unit of Show Answer

Q173) Hertz is the unit for Show Answer

Q174) One pico Farad is equal to Show Answer

Q175) In SI, Henry is the unit of Show Answer

Q176) The unit of e.m.f. is Show Answer

Q177) Which of the following is not the unit of time? Show Answer

Q178) Unit of self inductance is Show Answer

Q179) Young's modulus of a material has the same units as Show Answer

Q180) Which of the following is smallest unit Show Answer

Q181) Which one of the following pairs of quantities and their units is a proper match Show Answer

Q182) The units of modulus of rigidity are Show Answer

Q183) The unit of absolute permittivity is Show Answer

Q184) Which relation is wrong Show Answer

Q185) Which of the following quantity is expressed as force per unit area? Show Answer

Q186) Unit of impulse is Show Answer

Q187) Which is not a unit of electric field Show Answer

Q188) Which of the following is a derived unit Show Answer

Q189) The units of angular momentum are Show Answer

Q190) Which of the following is not the unit of energy? Show Answer

Q191) Which of the following is not a unit of time? Show Answer

Q192) The S.I. unit of gravitational potential is Show Answer

Q193) Which one of the following is not a unit of young's modulus? Show Answer

Q194) In C.G.S. system the magnitude of the force is 100 dynes. In another system where the fundamental physical quantities are kilogram, meter and minute, the magnitude of the force is Show Answer

Q195) The unit of L/R is (where L = inductance and R = resistance) Show Answer

Q196) Which is different from others by units? Show Answer

Q197) Length cannot be measured by Show Answer

Q198) The value of Planck's constant is Show Answer

Q199) Faraday is the unit of Show Answer

Q200) Candela is the unit of Show Answer

Q201) The unit of reactance is Show Answer

Q202) The unit of Planck's constant is Show Answer

Q203) Number of base SI units is Show Answer

Q204) SI unit of permittivity is Show Answer

Q205) Which does not has the same unit as others? Show Answer

Q206) Unit of surface tension is Show Answer

Q207) Which of the following system of units is not based on units of mass, length and time alone? Show Answer

Q208) The unit of the coefficient of viscosity in S.I. system is Show Answer

Q209) The unit of Young's modulus is Show Answer

Q210) One femtometer is equivalent to Show Answer

Q211) Which of the following pairs is wrong? Show Answer

Q212) Select the pair whose dimensions are same Show Answer

Q213) The dimensions of calorie are Show Answer

Q214) Which pair has the same dimensions? Show Answer

Q215) If C and R represent capacitance and resistance respectively, then the dimensions of RC are Show Answer

Q216) Dimensions of one or more pairs are same. Identify the pairs Show Answer

Q217) Dimensional formula for latent heat is Show Answer

Q218) Dimensional formula for volume elasticity is Show Answer

Q219) The dimensional formula of angular velocity is Show Answer

Q220) The dimensions of power are Show Answer

Q221) The dimensions of couple are Show Answer

Q222) Dimensional formula for angular momentum is Show Answer

Q223) The dimensional formula for impulse is Show Answer

Q224) The dimensional formula for the modulus of rigidity is Show Answer

Q225) The dimensional formula for r.m.s. (root mean square) velocity is Show Answer

Q226) The dimensional formula for Planck's constant (h) is Show Answer

Q227) Out of the following, the only pair that does not have identical dimensions is Show Answer

Q228) The dimensional formula for impulse is same as the dimensional formula for Show Answer

Q229) Which of the following is dimensionally correct? Show Answer

Q230) Of the following quantities, which one has dimensions different from the remaining three? Show Answer

Q231) The quantities A and B are related by the relation, m = A/B, where m is the linear density and A is the force. The dimensions of B are of Show Answer

Q232) The dimensions of Farad are Show Answer

Q233) The dimensions of resistivity in terms of M, L, T and Q where Q stands for the dimensions of charge, is Show Answer

Q234) The dimensions of coefficient of thermal conductivity is Show Answer

Q235) Dimensional formula of stress is Show Answer

Q236) Dimensional formula of velocity of sound is Show Answer

Q237) Dimensional formula of capacitance is Show Answer

Q238) Dimensional formula of heat energy is Show Answer

Q239) If C and L denote capacitance and inductance respectively, then the dimensions of LC are Show Answer

Q240) Which of the following quantities has the same dimensions as that of energy Show Answer

Q241) Which of the following pairs of physical quantities has the same dimensions Show Answer

Q242) Which one of the following does not have the same dimensions Show Answer

Q243) Dimensions of frequency are Show Answer

Q244) The Martians use force (F), acceleration (A) and time (T) as their fundamental physical quantities. The dimensions of length on Martians system are Show Answer

Q245) An athletic coach told his team that muscle times speed equals power. What dimensions does he view for muscle? Show Answer

Q246) The foundations of dimensional analysis were laid down by Show Answer

Q247) The dimensional formula of wave number is Show Answer

Q248) The dimensions of stress are equal to Show Answer

Q249) The dimensions of pressure are Show Answer

Q250) Dimensional formula of magnetic flux is Show Answer

Q251) Inductance L can be dimensionally represented as Show Answer

Q252) Dimensions of time in power are Show Answer

Q253) Dimensions of kinetic energy are Show Answer

Q254) Dimensional formula for torque is Show Answer

Q255) Dimensions of coefficient of viscosity are Show Answer

Q256) The dimension of quantity (L/RCV) Show Answer

Q257) The dimension of the ratio of angular to linear momentum is Show Answer

Q258) The dimensions of surface tension are Show Answer

Q259) In the following list, the only pair which have different dimensions, is Show Answer

Q260) If R and L represent respectively resistance and self inductance, which of the following combinations has the dimensions of frequency Show Answer

Q261) If velocity v, acceleration A and force F are chosen as fundamental quantities, then the dimensional formula of angular momentum in terms of v, A and F would be Show Answer

Q262) Dimensions of the following three quantities are the same Show Answer

Q263) The dimensions of Planck's constant and angular momentum are respectively Show Answer

Q264) Dimensions of CR are those of Show Answer

Q265) The physical quantity that has no dimensions Show Answer

Q266) Dimensions of magnetic field intensity is Show Answer

Q267) Two quantities A and B have different dimensions. Which mathematical operation given below is physically meaningful Show Answer

Q268) Which of the following is dimensionless? Show Answer

Q269) The dimensions of inter atomic force constant are Show Answer

Q270) Dimension of electric current is Show Answer

Q271) The fundamental physical quantities that have same dimensions in the dimensional formulae of torque and angular momentum are Show Answer

Q272) If pressure P, velocity V and time T are taken as fundamental physical quantities, the dimensional formula of force is Show Answer

Q273) If energy (E), velocity (v) and force (F) be taken as fundamental quantity, then what are the dimensions of mass? Show Answer

Q274) Dimensions of luminous flux are Show Answer

Q275) Which of the following pair does not have similar dimensions? Show Answer

Q276) Out of the following which pair of quantities does not have same dimensions Show Answer

Q277) Identify the pair which has different dimensions Show Answer

Q278) Which of the following represents the dimensions of Farad? Show Answer

Q279) If the velocity of light (c), gravitational constant (G) and Planck's constant (h) are chosen as fundamental units, then the dimensions of mass in new system is Show Answer

Q280) Dimensions of permeability are Show Answer

Q281) Identify the pair whose dimensions are equal Show Answer

Q282) The dimensions of pressure is equal to Show Answer

Q283) Which of the two have same dimensions? Show Answer

Q284) An object is moving through the liquid. The viscous damping force acting on it is proportional to the velocity. Then dimension of constant of proportionality is Show Answer

Q285) The dimensions of e.m.f. in MKS is Show Answer

Q286) Which of the following quantities is dimensionless? Show Answer

Q287) The dimensional formula for Boltzmann's constant is Show Answer

Q288) The physical quantities not having same dimensions are Show Answer

Q289) The dimensional formula of relative density is Show Answer

Q290) The dimensional formula for young's modulus is Show Answer

Q291) The dimensions of electric potential are Show Answer

Q292) Dimensions of potential energy are Show Answer

Q293) The dimension of R/L are Show Answer

Q294) The dimensions of shear modulus are Show Answer

Q295) Pressure gradient has the same dimension as that of Show Answer

Q296) If force (F), length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be Show Answer

Q297) The dimensions of universal gas constant is Show Answer

Q298) "Pascal-Second" has dimension of Show Answer

Q299) In a system of units if force (F), acceleration (A) and time (T) are taken as fundamental units then the dimensional formula of energy is Show Answer

Q300) Out of the following pair, which one does not have identical dimensions Show Answer

Q301) The ratio of the dimension of Planck's constant and that of moment of inertia is the dimension of Show Answer

Q302) Which of the following group have different dimension? Show Answer

Q303) Out of following four dimensional quantities, which one quantity is to be called a dimensional constant Show Answer

Q304) The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed Show Answer

Q305) The random error in the arithmetic mean of 100 observations is x; then random error in the arithmetic mean of 400 observations would be Show Answer

Q306) Error in the measurement of radius of a sphere is 1%. The error in the calculated value of its volume is Show Answer

Q307) The mean time period of second?s pendulum is 2.00s and means absolute error in the time period is 0.05s. To express maximum estimate of error, the time period should be written as Show Answer

Q308) The decimal equivalent of 1/20 upto three significant figures is Show Answer

Q309) Accuracy of measurement is determined by Show Answer

Q310) In the context of accuracy of measurement and significant figures in expressing results of experiment, which of the following is/are correct?
(1) Out of the two measurements 50.14 cm and 0.00025 ampere, the first one has greater accuracy.
(2) If one travels 478 km by rail and 397 m. by road, the total distance travelled is 478 km. Show Answer

Q311) The period of oscillation of a simple pendulum in the experiment is recorded as 2.63 s, 2.56 s, 2.42 s, 2.71 s and 2.80 s respectively. The average absolute error is Show Answer

Q312) The length of a cylinder is measured with a meter rod having least count 0.1 cm. Its diameter is measured with vernier calipers having least count 0.01 cm. Given that length is 5.0 cm. and radius is 2.0 cm. The percentage error in the calculated value of the volume will be Show Answer

Q313) If there is a positive error of 50% in the measurement of velocity of a body, then the error in the measurement of kinetic energy is Show Answer

Q314) If L = 2.331 cm, B = 2.1 cm, then L + B = Show Answer

Q315) If L, C and R represent inductance, capacitance and resistance respectively, then which of the following does not represent dimensions of frequency Show Answer

Q316) The pair(s) of physical quantities that have the same dimensions is (are) Show Answer

Q317) The speed of light (c) gravitational constant (G) and Planck's constant (h) are taken as the fundamental units in a system. The dimension of time in this new system should be Show Answer

Q318) If the constant of gravitation (G), Planck's constant (h) and the velocity of light (c) be chosen as fundamental units. The dimension of the radius of gyration is Show Answer

Q319) If 97.52 are divided by 2.54, the correct result in terms of significant figures is Show Answer

Q320) Assertion : ‘Light year’ and ‘Wavelength’ both measure distance.
Reason : Both have dimensions of time.
Show Answer

Q321) Assertion : Light year and year, both measure time.
Reason : Because light year is the time that light takes to reach the earth from the sun. Show Answer

Q322) Assertion: Force cannot be added to pressure.
Reason : Because their dimensions are different.
Show Answer

Q323) Assertion : Parallex method cannot be used for measuring distances of stars more than 100 light years away.
Reason : Because parallex angle reduces so much that it cannot be measured accurately. Show Answer

Q324) Assertion : Number of significant figures in 0.005 is one and that in 0.500 is three.
Reason : This is because zeros are not significant. Show Answer

Q325) Assertion : Out of three measurements l = 0.7 m; l = 0.70 m and l = 0.700 m, the last one is most accurate.
Reason : In every measurement, only the last significant digit is not accurately known. Show Answer

Q326) Assertion : Mass, length and time are fundamental physical quantities.
Reason : They are independent of each other. Show Answer

Q327) Assertion : Density is a derived physical quantity.
Reason : Density cannot be derived from the fundamental physical quantities. Show Answer

Q328) Assertion : Now a days a standard metre is defined as in terms of the wavelength of light.
Reason : Light has no relation with length. Show Answer

Q329) Assertion : Radar is used to detect an aeroplane in the sky
Reason : Radar works on the principle of reflection of waves. Show Answer

Q330) Assertion : Surface tension and surface energy have the same dimensions.
Reason : Because both have the same S.I. unit. Show Answer

Q331) Assertion :Radian is the unit of distance.
Reason : One radian is the angle subtended at the centre of a circle by an arc equal in length to the radius of the circle. Show Answer

Q332) Assertion : When we change the unit of measurement of a quantity, its numerical value changes.
Reason : Smaller the unit of measurement smaller is its numerical value. Show Answer

Q333) Assertion : Dimensional constants are the quantities whose value are constant.
Reason : Dimensional constants are dimensionless. Show Answer

Q334) Assertion : The graph between P and Q is straight line, when P/Q is constant.
Reason : The straight line graph means that P proportional to Q or P is equal to constant multiplied by Q. Show Answer

Q335) Assertion : Avogadro number is the number of atoms in one gram mole.
Reason : Avogadro number is a dimensionless constant. Show Answer

Q336) Assertion : L/R and CR both have same dimensions.
Reason : L/R and CR both have dimension of time. Show Answer

Q337) The SI unit of universal gas constant (R) is Show Answer

Q338) The SI unit of surface tension is Show Answer

Q339) From the dimensional consideration, which of the following equation is correct? Show Answer

Q340) The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate. If the maximum error in the measurement of force and length are respectively 4% and 2%. The maximum error in the measurement of pressure is Show Answer

Q341) The length, breadth and thickness of a block are given by l = 12 cm, b = 6 cm and t = 2.45 cm . The volume of the block according to the idea of significant figures should be Show Answer

Q342) Crane is British unit of volume (one crane = 170.4742). convert crane into SI units Show Answer

Q343) If the speed of light (c), acceleration due to gravity (g) and pressure (p) are taken as the fundamental quantities, then the dimension of gravitational constant is Show Answer

Q344) The fundamental physical quantities that have same dimensions in the dimensional formulae of torque and angular momentum are Show Answer

Q345) In an experiment, to measure the height of a bridge by dropping stone into water underneath, if the error in measurement of time is 0.1s at the end of 2s, then the error in estimation of height of bridge will be Show Answer

Q346) Which of the following pairs is wrong? Show Answer

Q347) One yard in SI units is equal Show Answer

Q348) The dimensional formula for Boltzmann’s constant is Show Answer

Q349) Which physical quantities have the same dimension? Show Answer

Q350) The pair having the same dimensions is Show Answer

Q351) Which one has the dimensions different from the remaining three Show Answer

Q352) Planck’s constant has the dimensions (unit) of Show Answer

Q353) Dimension of R is Show Answer

Q354) Which of the following sets have different dimensions? Show Answer

Q355) Which of the following is dimensionless? Show Answer

Q356) The S.I. unit of gravitational potential is Show Answer

Q357) Dimensions of charge are Show Answer

Q358) A cube has numerically equal volume and surface area. The volume of such a cube is Show Answer

Q359) A suitable unit for gravitational constant is Show Answer

Q360) Dimensional formula for force is Show Answer

Q361) The dimensions of electric dipole moment are Show Answer

Q362) The unit of Wien’s constant b is Show Answer

Q363) The SI unit of gravitational potential is Show Answer

Q364) A physical quantity is measured and its value is found to be nu where n = numerical value and u = unit. Then which of the following relations is true Show Answer

Q365) Which of the following pairs has same dimensions? Show Answer

Q366) “Pascal-Second” has dimension of Show Answer

Q367) Unit of electric flux is Show Answer

Q368) Dimensions of frequency are Show Answer

Q369) The unit of the coefficient of viscosity in S.I. system is

Show Answer

Q370) The physical quantity angular momentum has the same dimensions as that of Show Answer

Q371) Let us choose a new unit of length such that the velocity of light in vacuum is unity. If light takes 8 min and 20 sec to cover the distance between sun and earth, this distance in terms of the new unit is Show Answer

Q372) If L,C and R denote inductance, capacitance and resistance respectively, then which of the following combination has the dimension of time? Show Answer

Q373) Out of the following which pair of quantities do not have same dimensions Show Answer

Q374) The unit of physical quantity obtained by the line intergral of electric field is Show Answer

Q375) Write dimensional formula for the intensity of radiation Show Answer

Q376) Two quantities A and B have different dimensions. Which mathematical operation given below is physically meaningful? Show Answer

Q377) The percentage errors in the measurement of a mass and speed are 2% and 3% respectively. How much will be the maximum error in the estimate of kinetic energy obtained by measuring mass and speed? Show Answer

Q378) The concorde is the fastest airlines used for commercial service. It can cruise at 1450 mile per hour (about two times the speed of sound or in other words mach 2). What is it in m/s? Show Answer

Q379) The dimensions of electric potential are Show Answer

Q380) The dimensions of kinetic energy are Show Answer

Q381) Which of the following is the smallest unit? Show Answer

Q382) The dimensions of couple are Show Answer

Q383) The dimensional formula of relative density is Show Answer

Q384) The dimensions of emf in MKS is Show Answer

Q385) The surface tension of a liquid is 70 dyne/cm, in MKS system value is Show Answer

Q386) If unit of length, mass and time each be doubled, the unit of work done is increased by Show Answer

Q387) Unit of impulse is Show Answer

Q388) From the dimensional consideration, which of the following equation is correct Show Answer

Q389) Which of the following is not a unit of energy? Show Answer

Q390) Which relation is wrong? Show Answer

Q391) Ampere-hour is a unit of Show Answer

Q392) Unit of magnetic moment is Show Answer

Q393) Surface tension has the same dimensions as that of Show Answer

Q394) The dimensions of farad are Show Answer

Q395) The mean time period of second’s pendulum is 2.00s and mean absolute error in the time period is 0.05s. To express maximum estimate of error, the time period should be written as Show Answer

Q396) A vernier callipers has 1 mm marks on the main scale. It has 20 equal divisions on the Vernier scale which match with 16 main scale divisions. For this Vernier callipers , the least count is Show Answer

Q397) The relative density of material of a body is found by weighing it first in air and then in water. If the weight in air is (5.00±0.05) newton and weight in water is (4.00±0.05) newton .Then the relative density along with the maximum permissible percentage error is Show Answer

Q398) The dimensions of coefficient of self inductance are Show Answer

Q399) If force (F), length (L) and time (T) are assumed to be the fundamental units, then the dimensional formula of the mass will be Show Answer

Q400) Inductance L can be dimensionally represented as Show Answer

Q401) Linear momentum and angular momentum have the same dimensions in Show Answer

Q402) SI unit of electric intensity is Show Answer

Q403) The dimensional formula for impulse is Show Answer

Q404) The dimensional formula of self-inductance is Show Answer

Q405) The unit of self-inductance is Show Answer

Q406) Consider a new system of units in which c(speed of light in vacuum), h(Planck’s constant) and G(gravitational constant) are taken as fundamental units. Which of the following would correctly represent mass in this new system? Show Answer

Q407) The dimensional formula for the modulus of rigidity is Show Answer

Q408) Which of the following is not represented in correct unit? Show Answer

Q409) The dimensional formula of angular velocity is Show Answer

Q410) Farad is not equivalent to Show Answer

Q411) The ratio of the dimension of Planck’s constant and that of moment of inertia is the dimension of Show Answer

Q412) The dimensional formula for impulse is Show Answer

Q413) Size of universe is about Show Answer

Q414) The SI unit of momentum is Show Answer

Q415) What will be the unit of time in that system in which the unit of length is metre, unit of mass is kg and unit of force is kg wt? Show Answer

Q416) If pressure P, velocity V and time T are taken as fundamental physical quantities, the dimensional formula of force is Show Answer

Q417) The dimensional formula for Planck’s constant (h) is Show Answer

Q418) The physical quantities not having same dimensions are Show Answer

Q419) Pressure gradient has the same dimension as that of Show Answer

Q420) The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are Show Answer

Q421) Dimensional formula of capacitance (or farad) is Show Answer

Q422) Joule-second is the unit of Show Answer

Q423) The dimension of magnetic field in M, L, T and C (coulomb) is given as Show Answer

Q424) In a system of units if force (F), acceleration (A), and time (T) are taken as fundamental units then the dimensional formula of energy is Show Answer

Q425) Which of the following system of units is not based on units of mass, length and time alone? Show Answer

Q426) Which one of the following is not a unit of Young’s modulus? Show Answer

Q427) The unit of surface tension in SI system is Show Answer

Q428) The dimensional formula of modulus of rigidity is Show Answer

Q429) The dimensional formula of capacitance in terms of M, L, T and I is Show Answer

Q430) The fundamental unit, which has the same power in the dimensional formulae of surface tension and viscosity is Show Answer

Q431) Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of -0.03 mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is Show Answer

Q432) One million electron volt (1 MeV) is equal to Show Answer

Q433) If x=a-b, then the maximum percentage error in the measurement of x will be Show Answer

Q434) Which pair has the same dimensions? Show Answer

Q435) Which of the following is the unit of specific heat? Show Answer

Q436) A sextant is used to measure Show Answer

Q437) In the context of accuracy of measurement and significant figures in expressing results of experiment, which of the following is/are correct
(1) Out of the two measurements 50.14 cm and 0.00025 ampere, the first one has greater accuracy
(2) If one travels 478 km by rail and 397 m by road, the total distance travelled is 478 km
Show Answer

Q438) If error in radius is 3%, what is error in volume of sphere? Show Answer

Q439) Let L denote the self-inductance of coil which is in series with a capacitor of capacitance C. Which of the following has the unit second? Show Answer

Q440) The unit of Stefan’s constant is Show Answer

Q441) SI unit of permittivity is Show Answer

Q442) The physical quantity which is not a unit of energy is Show Answer

Q443) If the constant of gravitation (G), Plank’s constant (h) and the velocity of light (c) be chosen as fundamental units. The dimension of the radius of gyration is Show Answer

Q444) Which of the following quantities is dimensionless Show Answer

Q445) If the units of mass, length and time are doubled unit of angular momentum will be Show Answer

Q446) Which is different from others by units Show Answer

Q447) Which of the following five physical parameters have the same dimensions
(A) Energy density (B) Refractive index (C) Dielectric constant (D) Young’s modulus (E) Magnetic field Show Answer

Q448) If C and L denote capacitance and inductance respectively, then the dimensions of LC are Show Answer

Q449) Which of the following is not equal to watt? Show Answer

Q450) Dimensions of impulse are same as that of Show Answer

Q451) The dimensional formula of electrical conductivity is Show Answer

Q452) The period of oscillation of a simple pendulum in the experiment is recorded as 2.63 s, 2.56 s, 2.42 s, 2.71 s and 2.80 s respectively. The average absolute error is Show Answer

Q453) Dimensional formula for torque is Show Answer

Q454) Dimensional formula of Stefan’s constant is Show Answer

Q455) Dimensions of CR are those of Show Answer

Q456) A screw gauge gives the following reading when used to measure the diameter of a wire.
Main scale reading : 0 mm
Circular scale reading : 52 divisions
Given that 1 mm on main scale corresponds to
100 divisions of the circular scale.
The diameter of wire from the above data is Show Answer

Q457) The dimensions of inter atomic force constant are Show Answer

Q458) The physical quantity that has no dimensions is Show Answer

Q459) Out of the following pairs, which one does not have identical dimensions? Show Answer

Q460) The only mechanical quantity which has negative dimension of mass is Show Answer

Q461) The dimensions of shear modulus are Show Answer

Q462) Which of the following pairs does not have similar dimensions? Show Answer

Q463) If the velocity of light c, gravitational constant G and Planck’s constant h are chosen as fundamental units, the dimensions of length L in the new system is Show Answer

Q464) Which of the following physical quantities has neither dimensions nor unit? Show Answer

Q465) What is the area of a disc of radius 1.1 cm? Show Answer

Q466) Oersted is a unit of Show Answer

Q467) The length of a cylinder is measured with a meter rod having least count 0.1 cm.
Its diameter is measured with vernier callipers having least count 0.01 cm. Given that length is 5.0 cm. and radius is 2.0 cm. The percentage error in the calculated value of the volume will be Show Answer

Q468) If C and R represent capacitance and resistance respectively, then the dimensions of RC are Show Answer

Q469) One nanometre is equal to Show Answer

Q470) In the following list, the only pair which have different dimensions, is Show Answer

Q471) If force (F), length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be Show Answer

Q472) The dimensions of surface tension are Show Answer

Q473) Which of the following is dimensionally correct? Show Answer

Q474) The dimensions of pressure is equal to Show Answer

Q475) The sides of a rectangle are 6.01 m and 12m. taking the significant figures into account, the area of the rectangle is Show Answer

Q476) The SI unit of universal gas constant (R) is Show Answer

Q477) Dimensional formula for force is Show Answer

Q478) The unit of angular acceleration in the SI system is Show Answer

Q479) Dimensions of the following three quantities are the same Show Answer

Q480) Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of -0.03 mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is Show Answer

Q481) The dimensional formula of magnetic flux is Show Answer

Q482) Energy per unit volume represents Show Answer

Q483) The unit of self inductance of a coil is Show Answer

Q484) One slug is equivalent to 14.6 kg. A force of 10 pound is applied on a body of 1 kg. The acceleration of the body is Show Answer

Q485) The SI unit of electrochemical equivalent is Show Answer

Q486) Length is measured in metre and time in second as usual. But a new unit of mass is so chosen that G=1. This new unit of mass is equal to Show Answer

Q487) Dimensions of magnetic field intensity is Show Answer

Q488) New unit of mass is `1/(6.67×10^(-11) ) kg ie,1.5×10^10 `kg Show Answer

Q489) Which of the following represents a volt Show Answer

Q490) A weber is equivalent to Show Answer

Q491) The physical quantities not having same dimensions are Show Answer

Q492) The dimension of the ratio of angular to linear momentum is Show Answer

Q493) The unit of potential energy is Show Answer

Q494) The unit of momentum is Show Answer

Q495) The speed of light (c), gravitational constant (G) and Planck’s constant (h) are taken as the fundamental units in a system. The dimension of time in this new system should be Show Answer

Q496) Dimensions of kinetic energy are Show Answer

Q497) Which of the following cannot be regarded as an essential characteristic of a unit of measurement? Show Answer

Q498) What is the power of a 100 W bulb in CGS units? Show Answer

Q499) One femtometre is equivalent to Show Answer

Q500) The unit of L/R is (where L=inductance and R= Resistance) Show Answer

Q501) The dimensions of calorie are Show Answer

Q502) The dimensions of potential are the same as that of Show Answer

Q503) If the units of M and L are increased three times, then the unit of energy will be increased by Show Answer

Q504) Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and current I, would be Show Answer

Q505) An athletic coach told his team that muscle times speed equals power. What dimensions does he view for muscle Show Answer

Q506) If the units of mass, length and time are doubled, unit of angular momentum will be Show Answer

Q507) Young’s modulus of a material has the same units as Show Answer

Q508) The unit of e.m.f. is Show Answer

Q509) Coefficient of thermal conductivity has the dimensions Show Answer

Q510) Error in the measurement of radius of sphere is 2%. The error in the measurement of volume is Show Answer

Q511) Curie is a unit of Show Answer

Q512) The dimensions of electric potential are Show Answer

Q513) The dimensions of gravitational constant G and the moment of inertia are respectively Show Answer

Q514) Which physical quantities have same dimensions? Show Answer

Q515) The dimensional formula of latent heat is Show Answer

Q516) Which of the following is not the unit of energy? Show Answer

Q517) The least count of a stop watch is 0.2 s. The time of 20 oscillations of a pendulum is measured to be 25 s. The percentage error in the measurement of time will be Show Answer

Q518) The dimensions of resistance are same as those of ………. Where h is the Planck’s constant and e is the charge. Show Answer

Q519) The dimensional formula of magnetic permeability is Show Answer

Q520) If the unit of length and force be increased four times, then the unit of energy is Show Answer

Q521) Faraday is the unit of Show Answer

Q522) The dimensions of Planck’s constant are Show Answer

Q523) The mass of a box is 2.3 g. Two gold pieces, each of mass 0.035 g, are placed in it. The total mass of the box and gold pieces is Show Answer

Q524) The dimensions of coefficient of thermal conductivity is Show Answer

Q525) The dimensions of magnetic field in M, L, T and C (coulomb) is given as Show Answer

Q526) Which one of the following represents the correct dimensions of the coefficient of viscosity? Show Answer

Q527) Energy per unit volume represents Show Answer

Q528) The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate. If the maximum error in the measurement of force and length are respectively 4% and 2%, the maximum error in the measurement of pressure is Show Answer

Q529) The percentage errors in the measurement of length and time period of a simple pendulum are 1% and 2% respectively. Then the maximum error in the measurement of acceleration due to gravity is Show Answer

Q530) SI unit of intensity of wave is Show Answer

Q531) Which of the following quantities has not been expressed in proper unit? Show Answer

Q532) One side of a cubical block is measured with the help of a vernier callipers of vernier constant 0.01 cm. This side comes out to be 1.23 cm. What is the percentage error in the measurement of area? Show Answer

Q533) The unit of magnetic moment is Show Answer

Q534) Dimensional formula of Stefan’s constant is Show Answer

Q535) newton-second is the unit of Show Answer

Q536) Which of the two have same dimensions Show Answer

Q537) The dimensional formula of magnetic induction B is Show Answer

Q538) A student has measured the length of a wire equal to 0.04580 m. This value of length has the number of significant figures equal to Show Answer

Q539) Universal time is based on Show Answer

Q540) If there is a positive error of 50% in the measurement of speed of a body, then the error in the measurement of kinetic energy is Show Answer

Q541) Which of the following sets of quantities have same dimensional formula? Show Answer

Q542) Dimensions of strain are Show Answer

Q543) The damping force of an oscillating particle is observed to be proportional to velocity. The constant of proportionality can be measured in Show Answer

Q544) The value of 0.99-0.989 is Show Answer

Q545) The dimensional formula for areal velocity is Show Answer

Q546) Temperature can be expressed as a derived quantity in terms of any of the following Show Answer

Q547) Unit of stress is Show Answer

Q548) If the velocity of light (c), gravitational constant (G) and Planck’s constant (h) are chosen as fundamental units, then the dimensions of mass in new system is Show Answer

Q549) The dimensions of resistivity in terms of M, L, T and Q where Q stands for the dimensions of charge, is Show Answer

Q550) A spectrometer gives the following reading when used to measure the angle of a prism
Main scale reading : 58.5 degree
Vernier scale reading : 09 divisions
Given that 1 division on main scale corresponds to 0.5 degree. Total divisions on the vernier scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the above data Show Answer

Q551) Which does not have the same unit as others? Show Answer

Q552) The radius of a wire is 0.24 mm. Then its area of cross section by taking significant figures into consideration is Show Answer

Q553) The length, breadth and thickness of a block is measured to be 50 cm, 2.0 cm and 1.00 cm. The percentage error in the measurement of volume is Show Answer

Q554) R, L and C represent the physical quantities resistance, inductance and capacitance respectively. Which one of the following combination has dimension of frequency? Show Answer

Q555) Wavelength of ray of light is 0.00006 m. It is equal to Show Answer

Q556) Dimensions of permeability are Show Answer

Q557) Ins is defined as Show Answer

Q558) Density of wood is 0.5 gm/cc in the CGS system of units. The corresponding value in MKS units is Show Answer

Q559) Unit of moment of inertia in MKS system Show Answer

Q560) The percentage error in the above problem is Show Answer

Q561) Force constant has the same dimensions as Show Answer

Q562) What is dimensional formula of thermal conductivity? Show Answer

Q563) Universal time is based on Show Answer

Q564) Identify the pair which has different dimensions Show Answer

Q565) Dimensions of ohm are same as (h - Planck’s constant, e - charge) Show Answer

Q566) The difference in the lengths of a mean solar day and a sidereal day is about Show Answer

Q567) If the units of mass, length and time are doubled, unit of angular momentum will be Show Answer

Q568) 1kWh = Show Answer

Q569) A wire has a mass 0.3±0.003g, radius 0.5±0.005 mm and length 6±0.06 cm. The maximum percentage error in the measurement of its density is Show Answer

Q570) Coefficient of thermal conductivity has the dimensions Show Answer

Q571) Which physical quantities have same dimensions? Show Answer

Q572) Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are 3% each, then error in the value of resistance of the wire is Show Answer

Q573) Dimensional formula for the universal gravitational constant G is Show Answer

Q574) Select the pair whose dimensions are same Show Answer

Q575) R and L represent respectively resistance and self inductance, which of the following combinations has the dimensions of frequency Show Answer

Q576) The unit of specific resistance is Show Answer

Q577) Dimension of electric current is Show Answer

Q578) Henry/ohm can be expressed in Show Answer

Q579) The dimensions of time constant are Show Answer

Q580) The dimensions of Planck’s constant is same as that of Show Answer

Q581) Parsec is a unit of Show Answer

Q582) Dimensional formula for volume elasticity is Show Answer

Q583) The square root of the product of inductance and capacitance has the dimension of Show Answer

Q584) Dimensions of coefficient of viscosity are Show Answer

Q585) Which physical quantities have same dimensions? Show Answer

Q586) If L, C and R represent inductance, capacitance and resistance respectively, then which of the following does not represent dimensions of frequency? Show Answer

Q587) The expression for centripetal force depends upon mass of body, speed of the body and the radius of circular path. Find the expression for centripetal force Show Answer

Q588) Which of the following is/are the units of strength of magnetic field at a point? Show Answer

Q589) A screw gauge gives the following reading when used to measure the diameter of a wire
Main scale reading : 0 mm
Circular scale reading : 52 divisions
Given that 1 mm on main scale corresponds to 100 divisions on the circular scale.
The diameter of wire from the above data is Show Answer

Q590) The energy (E), angular momentum (L) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planck’s constant (h) is Show Answer

Q591) Find the dimensions of electric permittivity Show Answer

Q592) The dimensional formula of universal gas constant is Show Answer

Q593) In C.G.S. system the magnitude of the force is 100 dyne. In another system where fundamental physical quantities are kilogram, metre and minute, the magnitude of the force is Show Answer

Q594) The dimensions of potential are the same as that of Show Answer

Q595) The dimensional formula of the ratio of angular to linear momentum is Show Answer

Q596) The length of a simple pendulum is about 100 cm known to an accuracy of 1 mm. Its period of oscillation is 2s determined by measuring the time for 100 oscillations using a clock of 0.1 s resolution. What is the accuracy in the determined value of g? Show Answer

Q597) If force is proportional to square of velocity, then the dimensions of proportionality constant are Show Answer

Q598) The dimensional formula for the magnetic field is Show Answer

Q599) The dimensions of stress are equal to Show Answer

Q600) The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is 0.5 mm and there are 50 divisions on the circular scale. The reading on the main scale is 2.5 mm and that on the circular scale is 20 divisions. If the measured mass of the ball has a relative error of 2%, the relative percentage error in the density is Show Answer

Q601) Which one of the following does not have the same dimensions? Show Answer

Q602) Dimensional formula of heat energy is Show Answer

Q603) Length is measured in metre and time in second as usual. But a new unit of mass is so chosen that G = 1. This new unit of mass is equal to Show Answer

Q604) The dimensions of universal gravitational constant are Show Answer

Q605) 1a.m.u. is equivalent to Show Answer

Q606) The dimensional formula for impulse is Show Answer

Q607) Given below are two statements :
Statement I Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical distances.
Statement II Au < Parsec (Pc) < < ly
In the light of above statements, choose the most appropriate answer from the options given below. Show Answer

Q608) If E and H represent the intensity of electric field and magnetizing field respectively, then the unit of E/H will be Show Answer

Q609) The rad is the correct unit used to measurement of
Show Answer

Q610) Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) A spherical body of radius (5±0.1)mm having a particular density is falling through a liquid of constant density. The percentage error in the calculation of its terminal velocity is 4%.
Reason (R) The terminal velocity of the spherical body falling through the liquid is inversely proportional to its radius.
In the light of the above statements, choose the most appropriate answer from the options given below. Show Answer

Q611) A cylindrical wire of mass (0.4 ± 0.01) g has length (8±0.04) cm and radius (6±0.03) mm. The maximum error in its density will be Show Answer

Q612) A torque meter is calibrated to reference standards of mass, length and time each with 5% accuracy. After calibration, the measured torque with this torque meter will have net accuracy of Show Answer

Q613) The maximum error in the measurement of resistance, current and time for which current flows in an electric circuit are 1%, 2% and 3%, respectively. The maximum percentage error in the detection of the dissipated heat will be Show Answer

Q614) A silver wire has mass (0.6±0.006) g, radius (0.5±0.005) mm and length (4±0.04) cm. The maximum percentage error in the measurement of its density will be: Show Answer

Q615) If the length of the pendulum in pendulum clock increases by 0.1%, then the error in time per day is Show Answer

Q616) In order to determine the Young's modulus of a wire of radius 0.2 cm (measured using a scale of least count=0.001 cm) and length 1m (measured using a scale of least count = 1 mm), a weight of mass 1kg (measured using a scale of least count = 1g) was hanged to get the elongation of 0.5 cm (measured using a scale of least count 0.001 cm). What will be the fractional error in the value of Young's modulus determined by this experiment? Show Answer

Q617) In a simple pendulum, experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured by using a watch of 1 second least count. The mean value of time taken comes out to be 30 s. The length of pendulum is measured by using a meter scale of least count 1 mm and the value obtained 55.0 cm. The percentage error in the determination of g is close to Show Answer

Q618) The diameter and height of a cylinder are measured by a meter scale to be 12.6± 0.1 cm and 34.2±0.1 cm, respectively. What will be the value of its volume in appropriate significant figures? Show Answer

Q619) The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining the density is Show Answer

Q620) A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90s, 91s, 92s and 95s. If the minimum division in the measuring clock is 1s, then the reported mean time should be Show Answer

Q621) A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading: 58.5 degree Vernier scale reading : 09 divisions
Given that 1 division on main scale corresponds to 0.5 degree. Total divisions on the vernier scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the above data is Show Answer

Q622) Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are 3% each, then error in the value of
resistance of the wire is Show Answer

Q623) In an experiment, the angles are required to be measured using an instrument. 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half a degree (= 0.5°), then the least count of the instrument is Show Answer

Q624) In an experiment to find acceleration due to gravity (g) using simple pendulum, time period of 0.5 s is measured from time of 100 oscillation with a watch of ls resolution. If measured value of length is 10 cm known to 1 mm accuracy. The accuracy in the determination of g is found to be x%. The value of x is Show Answer

Q625) The radius of a sphere is measured to be
(7.50 +0.85) cm. Suppose, the percentage error in its volume is x. The value of x, to the nearest x, is Show Answer

Q626) If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be Show Answer

Q627) If the velocity of light c, universal gravitational constant G and Planck's constant h are choosen as fundamental quantities. The dimensions of mass in Show Answer

Q628) If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time? Show Answer

Q629) Identify the pair of physical quantities which have different dimensions Show Answer

Q630) Which of the following physical quantities have the same dimensions? Show Answer

Q631) The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be Show Answer

Q632) Identify the pair of physical quantities that have same dimensions. Show Answer

Q633) If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density? Show Answer

Q634) If velocity [v], time [T] and force [F] are choosen as the base quantities, the dimensions of the mass will be Show Answer

Q635) Which of the following is not a dimensionless quantity? Show Answer

Q636) If time (t), velocity (v) and angular momentum (l) are taken as the fundamental units, then the dimension of mass (m) in terms of t,v and l is Show Answer

Q637) If C and V represent capacity and voltage respectively, then what are the dimensions of 2, where C/V =λ? Show Answer

Q638) If momentum P, area A and time T are taken to be the fundamental quantities, then the dimensional formula for energy is Show Answer

Q639) Amount of solar energy received on the earth's surface per unit area per unit time is defined as solar constant. Dimensional formula of solar constant is Show Answer

Q640) Dimensional formula for thermal conductivity is
(Here, K denotes the temperature) Show Answer

Q641) Which of the following combinations has the dimension of electrical resistance (e is the permittivity of vacuum and μ, is the permeability of vacuum)? Show Answer

Q642) In form of G (universal gravitational constant), h (Planck constant) and c (speed of light), the time period will be proportional to Show Answer

Q643) If speed (v), acceleration (A) and force (F) are() considered as fundamental units, the dimension of Young's modulus will be Show Answer

Q644) Let l, r, c, and v represent inductance, resistance,
capacitance and voltage, respectively. The dimension of l/ rcv in SI units will be Show Answer

Q645) Time (T), velocity (C) and angular momentum (h) are chosen as fundamental quantities instead of mass, length and time, In terms of these, the dimensions of mass would be: Show Answer

Q646) A, B, C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD=C In (BD) holds true. Then, which of the combination is not a meaningful quantity? Show Answer

Q647) In the following 'I' refers to current and other symbols have their usual meaning. Choose the option that corresponds to the dimensions of electrical conductivity Show Answer

Q648) The dimensions of angular momentum, latent heat
and capacitance are, respectively. Show Answer

Q649) The dimensions of magnetic field in M, L, T and C (coulomb) is given as Show Answer

Q650) Out of the following pairs, which one does not have identical dimensions?
Show Answer

Q651) Which one of the following represents the correct dimensions of the coefficient of viscosity? Show Answer

Q652) The physical quantities not having same dimensions are Show Answer