Practice Test


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


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


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


4) The error associated with the resolution of an instrument is


5) Significant figures indicate the ________ of measurement.


6) 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


7) The volume of a cube of side 1 cm is equal to ________ .


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


9) 1 m = __________ ly


10) 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


11) 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?


12) 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


13) 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)


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


15) SI unit of surface tension is


16) Which one of the following is NOT a unit of time?


17) The SI unit of electric field strength is


18) Dimensional formula for the angle of contact is


19) Dimensional formula of angular velocity is


20) The dimensional formula of angular momentum is


21) Specific gravity has .... Dimensions in mass, ... Dimensions in length and .... Dimensions in time.


22) The unit of impluse is the same as that of


23) The SI unit of magnetic flux is


24) SI unit of molar gas constant is


25) Which of the following is not a unit of energy?


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


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


28) The curie is a unit used for the measurement of


29) 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?


30) The dimensional formula of self - inductance is


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


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


33) The dimensions of specific heat capacity are


34) Which of the following has the dimensions of pressure?


35) The dimensional formula for root mean square velocity is


36) One horse power is equal to


37) One X-ray unit is equal to


38) The dimensional formula for Rydberg constant is


39) The dimenstional formula of latent heat is


40) The dimensional formula of magnetic moment of a current carrying coil is


41) Linear momentum and angular momentum have the same dimensions in


42) The SI unit of potential energy is


43) 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


44) Force constant has the same dimensions as


45) Statement 1 : Dimensionless quantities have no units.
Statement 2 : Unitless quantities have no dimensions.


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


47) The percentage error in the measurement of extension by the micrometer is


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


49) The maximum percentage error in the calculation of Young's modulus is


50) Which of the following represents correct dimensions of the coefficient of viscosity ?


51) Dimensions of universal constant of gravitation is


52) The unit of plane angle is radian, hence its dimensions are


53) Using the principle of homogeneity of dimensions, find which of the following relation is correct ?


54) The radius of the earth is 6400 km, the order of magnitude is


55) One micron is related to centimeter as


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


57) The number of seconds in a day and expressed it in order of magnitude are


58) If the unit of length is halved and that of mass is doubled then dimensions of force is


59) The atomic , molecular and nuclear phenomenon are the parts of _____ domain.


60) Maxwell's equation relate to


61) _____ is needed for the experimental verification of various theories.


62) The reference standard used for the measurement of a physical quantity is called


63) Which of the following is NOT a characteristic of a good unit ?


64) Units are classified into ___ groups.


65) F.P.S means


66) A set of fundamental and derived units is known as


67) ______ is the unit for mass in metric or M.K.S system.


68) S.I system of unit contain ____ supplementary unit.


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


70) Out of the following units, which is NOT a fundamental unit ?


71) Which of the following is NOT a derived unit ?


72) Which of the following is the CORRECT way of writing units ?


73) To measure the distance of a planet from the earth ____ method is used.


74) The mass of the body depends only on


75) In cesium atomic clock _____ is used.


76) A ____ is the interval from one noon to the next noon.


77) Light year is a unit for the measurement of


78) Which of the following quantity is expressed as force per unit area ?


79) The SI unit of luminous intensity is


80) Which of the following is a supplementary unit ?


81) Out of the following pair, which one does NOT have identical dimensions ?


82) Which of the following equation is dimensionally correct ?


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


84) The dimensional formula for impulse is the same as dimensional formula for


85) Checking the correctness of physical equations using the method of dimensions is based on


86) A unitless quantity


87) Which of the following is NOT dimensionless quantity ?


88) Dimensional equation CANNOT be used


89) The value of the magnitude rounded off to the nearest integral power of 10 is called


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


91) The number of significant figures in 0.0009 is


92) The number of significant figures in 0.400 is


93) The order of magnitude of 4.9 and 5.1 are


94) Significant figures depends upon the ______ of the measuring instrument.


95) The difference between the true value and measured value is called


96) If the pointer of the voltmeter is not exactly at the zero of the scale, the error is called


97) Accidental error can be minimized by


98) Instrumental error can be caused due to


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


100) Instrumental error can be minimized by


101) The magnitude of the difference between mean value and each individual value is called


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


103) 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


104) 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


105) 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


106) 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


107) Zero error of an instrument introduces


108) The physical quantity having the same unit in all the systems of unit is


109) State the number of significant figures in 6.032 J


110) The number of significant figures in 0.0500 is


111) In the reading 2.614 cm of measurement, only uncertain figure is


112) The answer of (9.15 + 3.8) with due regards to significant figure is


113) Who gave the quantum model of an atom ?


114) Which of the following set have different dimensions ?


115) which of the following pairs of physical quantities has different dimensions?


116) If L and R denote inductance and resistance, the dimensions of L/R are:


117) Which of the following pairs does not have same dimensions?


118) The dimensional representation for Stefan's constant is:


119) 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:


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


121) Error in the measurement of radius of sphere is 1%, the error in the measurement of volume is:


122) 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.?


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


124) Which of the following represents a unified atomic mass unit (1u) ?


125) The formula for percentage error is :


126) 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 ):


127) Light year is a unit of


128) The magnitude of any physical quantity


129) Which of the following is not equal to watt?


130) Newton-second is the unit of


131) Which of the following is not represented in correct unit?


132) One second is equal to


133) One nanometre is equal to


134) A micron is related to centimetre as


135) The unit of power is


136) SI unit of pressure is


137) The unit of angular acceleration in the SI system is


138) Which of the following is not a unit of energy


139) Joule-second is the unit of


140) Unit of energy in SI system is


141) Wavelength of ray of light is 0.00006 m. It is equal to


142) Electron volt is a unit of


143) Temperature can be expressed as a derived quantity in terms of any of the following


144) Unit of power is


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


146) Unit of energy is


147) Which is the correct unit for measuring nuclear radii?


148) One Mach number is equal to


149) Volt/metre is the unit of


150) The unit of surface tension in SI system is


151) The unit of self inductance of a coil is


152) One million electron volt (1 MeV) is equal to


153) The unit of potential energy is


154) Which of the following represents a volt


155) Kilowatt-hour is a unit of


156) What is the SI unit of permeability


157) In which of the following systems of unit, Weber is the unit of magnetic flux


158) Tesla is a unit for measuring


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


160) Oersted is a unit of


161) The unit of specific resistance is


162) The binding energy of a nucleon in a nucleus is of the order of a few


163) Par-sec is a unit of


164) 1eV is


165) 1kWh =


166) Universal time is based on


167) The nuclear cross-section is measured in barn, it is equal to


168) Unit of moment of inertia in MKS system


169) Unit of stress is


170) Unit of Stefan's constant is


171) Unit of magnetic moment is


172) Curie is a unit of


173) Hertz is the unit for


174) One pico Farad is equal to


175) In SI, Henry is the unit of


176) The unit of e.m.f. is


177) Which of the following is not the unit of time?


178) Unit of self inductance is


179) Young's modulus of a material has the same units as


180) Which of the following is smallest unit


181) Which one of the following pairs of quantities and their units is a proper match


182) The units of modulus of rigidity are


183) The unit of absolute permittivity is


184) Which relation is wrong


185) Which of the following quantity is expressed as force per unit area?


186) Unit of impulse is


187) Which is not a unit of electric field


188) Which of the following is a derived unit


189) The units of angular momentum are


190) Which of the following is not the unit of energy?


191) Which of the following is not a unit of time?


192) The S.I. unit of gravitational potential is


193) Which one of the following is not a unit of young's modulus?


194) 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


195) The unit of L/R is (where L = inductance and R = resistance)


196) Which is different from others by units?


197) Length cannot be measured by


198) The value of Planck's constant is


199) Faraday is the unit of


200) Candela is the unit of


201) The unit of reactance is


202) The unit of Planck's constant is


203) Number of base SI units is


204) SI unit of permittivity is


205) Which does not has the same unit as others?


206) Unit of surface tension is


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


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


209) The unit of Young's modulus is


210) One femtometer is equivalent to


211) Which of the following pairs is wrong?


212) Select the pair whose dimensions are same


213) The dimensions of calorie are


214) Which pair has the same dimensions?


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


216) Dimensions of one or more pairs are same. Identify the pairs


217) Dimensional formula for latent heat is


218) Dimensional formula for volume elasticity is


219) The dimensional formula of angular velocity is


220) The dimensions of power are


221) The dimensions of couple are


222) Dimensional formula for angular momentum is


223) The dimensional formula for impulse is


224) The dimensional formula for the modulus of rigidity is


225) The dimensional formula for r.m.s. (root mean square) velocity is


226) The dimensional formula for Planck's constant (h) is


227) Out of the following, the only pair that does not have identical dimensions is


228) The dimensional formula for impulse is same as the dimensional formula for


229) Which of the following is dimensionally correct?


230) Of the following quantities, which one has dimensions different from the remaining three?


231) 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


232) The dimensions of Farad are


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


234) The dimensions of coefficient of thermal conductivity is


235) Dimensional formula of stress is


236) Dimensional formula of velocity of sound is


237) Dimensional formula of capacitance is


238) Dimensional formula of heat energy is


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


240) Which of the following quantities has the same dimensions as that of energy


241) Which of the following pairs of physical quantities has the same dimensions


242) Which one of the following does not have the same dimensions


243) Dimensions of frequency are


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


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


246) The foundations of dimensional analysis were laid down by


247) The dimensional formula of wave number is


248) The dimensions of stress are equal to


249) The dimensions of pressure are


250) Dimensional formula of magnetic flux is


251) Inductance L can be dimensionally represented as


252) Dimensions of time in power are


253) Dimensions of kinetic energy are


254) Dimensional formula for torque is


255) Dimensions of coefficient of viscosity are


256) The dimension of quantity (L/RCV)


257) The dimension of the ratio of angular to linear momentum is


258) The dimensions of surface tension are


259) In the following list, the only pair which have different dimensions, is


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


261) 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


262) Dimensions of the following three quantities are the same


263) The dimensions of Planck's constant and angular momentum are respectively


264) Dimensions of CR are those of


265) The physical quantity that has no dimensions


266) Dimensions of magnetic field intensity is


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


268) Which of the following is dimensionless?


269) The dimensions of inter atomic force constant are


270) Dimension of electric current is


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


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


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


274) Dimensions of luminous flux are


275) Which of the following pair does not have similar dimensions?


276) Out of the following which pair of quantities does not have same dimensions


277) Identify the pair which has different dimensions


278) Which of the following represents the dimensions of Farad?


279) 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


280) Dimensions of permeability are


281) Identify the pair whose dimensions are equal


282) The dimensions of pressure is equal to


283) Which of the two have same dimensions?


284) 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


285) The dimensions of e.m.f. in MKS is


286) Which of the following quantities is dimensionless?


287) The dimensional formula for Boltzmann's constant is


288) The physical quantities not having same dimensions are


289) The dimensional formula of relative density is


290) The dimensional formula for young's modulus is


291) The dimensions of electric potential are


292) Dimensions of potential energy are


293) The dimension of R/L are


294) The dimensions of shear modulus are


295) Pressure gradient has the same dimension as that of


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


297) The dimensions of universal gas constant is


298) "Pascal-Second" has dimension of


299) 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


300) Out of the following pair, which one does not have identical dimensions


301) The ratio of the dimension of Planck's constant and that of moment of inertia is the dimension of


302) Which of the following group have different dimension?


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


304) 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


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


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


307) 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


308) The decimal equivalent of 1/20 upto three significant figures is


309) Accuracy of measurement is determined by


310) 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.


311) 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


312) 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


313) 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


314) If L = 2.331 cm, B = 2.1 cm, then L + B =


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


316) The pair(s) of physical quantities that have the same dimensions is (are)


317) 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


318) 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


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


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


321) 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.


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


323) 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.


324) 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.


325) 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.


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


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


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


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


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


331) 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.


332) 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.


333) Assertion : Dimensional constants are the quantities whose value are constant.
Reason : Dimensional constants are dimensionless.


334) 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.


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


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


337) The SI unit of universal gas constant (R) is


338) The SI unit of surface tension is


339) From the dimensional consideration, which of the following equation is correct?


340) 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


341) 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


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


343) 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


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


345) 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


346) Which of the following pairs is wrong?


347) One yard in SI units is equal


348) The dimensional formula for Boltzmann’s constant is


349) Which physical quantities have the same dimension?


350) The pair having the same dimensions is


351) Which one has the dimensions different from the remaining three


352) Planck’s constant has the dimensions (unit) of


353) Dimension of R is


354) Which of the following sets have different dimensions?


355) Which of the following is dimensionless?


356) The S.I. unit of gravitational potential is


357) Dimensions of charge are


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


359) A suitable unit for gravitational constant is


360) Dimensional formula for force is


361) The dimensions of electric dipole moment are


362) The unit of Wien’s constant b is


363) The SI unit of gravitational potential is


364) 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


365) Which of the following pairs has same dimensions?


366) “Pascal-Second” has dimension of


367) Unit of electric flux is


368) Dimensions of frequency are


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


370) The physical quantity angular momentum has the same dimensions as that of


371) 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


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


373) Out of the following which pair of quantities do not have same dimensions


374) The unit of physical quantity obtained by the line intergral of electric field is


375) Write dimensional formula for the intensity of radiation


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


377) 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?


378) 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?


379) The dimensions of electric potential are


380) The dimensions of kinetic energy are


381) Which of the following is the smallest unit?


382) The dimensions of couple are


383) The dimensional formula of relative density is


384) The dimensions of emf in MKS is


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


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


387) Unit of impulse is


388) From the dimensional consideration, which of the following equation is correct


389) Which of the following is not a unit of energy?


390) Which relation is wrong?


391) Ampere-hour is a unit of


392) Unit of magnetic moment is


393) Surface tension has the same dimensions as that of


394) The dimensions of farad are


395) 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


396) 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


397) 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


398) The dimensions of coefficient of self inductance are


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


400) Inductance L can be dimensionally represented as


401) Linear momentum and angular momentum have the same dimensions in


402) SI unit of electric intensity is


403) The dimensional formula for impulse is


404) The dimensional formula of self-inductance is


405) The unit of self-inductance is


406) 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?


407) The dimensional formula for the modulus of rigidity is


408) Which of the following is not represented in correct unit?


409) The dimensional formula of angular velocity is


410) Farad is not equivalent to


411) The ratio of the dimension of Planck’s constant and that of moment of inertia is the dimension of


412) The dimensional formula for impulse is


413) Size of universe is about


414) The SI unit of momentum is


415) 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?


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


417) The dimensional formula for Planck’s constant (h) is


418) The physical quantities not having same dimensions are


419) Pressure gradient has the same dimension as that of


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


421) Dimensional formula of capacitance (or farad) is


422) Joule-second is the unit of


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


424) 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


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


426) Which one of the following is not a unit of Young’s modulus?


427) The unit of surface tension in SI system is


428) The dimensional formula of modulus of rigidity is


429) The dimensional formula of capacitance in terms of M, L, T and I is


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


431) 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


432) One million electron volt (1 MeV) is equal to


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


434) Which pair has the same dimensions?


435) Which of the following is the unit of specific heat?


436) A sextant is used to measure


437) 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


438) If error in radius is 3%, what is error in volume of sphere?


439) 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?


440) The unit of Stefan’s constant is


441) SI unit of permittivity is


442) The physical quantity which is not a unit of energy is


443) 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


444) Which of the following quantities is dimensionless


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


446) Which is different from others by units


447) 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


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


449) Which of the following is not equal to watt?


450) Dimensions of impulse are same as that of


451) The dimensional formula of electrical conductivity is


452) 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


453) Dimensional formula for torque is


454) Dimensional formula of Stefan’s constant is


455) Dimensions of CR are those of


456) 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


457) The dimensions of inter atomic force constant are


458) The physical quantity that has no dimensions is


459) Out of the following pairs, which one does not have identical dimensions?


460) The only mechanical quantity which has negative dimension of mass is


461) The dimensions of shear modulus are


462) Which of the following pairs does not have similar dimensions?


463) 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


464) Which of the following physical quantities has neither dimensions nor unit?


465) What is the area of a disc of radius 1.1 cm?


466) Oersted is a unit of


467) 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


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


469) One nanometre is equal to


470) In the following list, the only pair which have different dimensions, is


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


472) The dimensions of surface tension are


473) Which of the following is dimensionally correct?


474) The dimensions of pressure is equal to


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


476) The SI unit of universal gas constant (R) is


477) Dimensional formula for force is


478) The unit of angular acceleration in the SI system is


479) Dimensions of the following three quantities are the same


480) 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


481) The dimensional formula of magnetic flux is


482) Energy per unit volume represents


483) The unit of self inductance of a coil is


484) 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


485) The SI unit of electrochemical equivalent is


486) 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


487) Dimensions of magnetic field intensity is


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


489) Which of the following represents a volt


490) A weber is equivalent to


491) The physical quantities not having same dimensions are


492) The dimension of the ratio of angular to linear momentum is


493) The unit of potential energy is


494) The unit of momentum is


495) 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


496) Dimensions of kinetic energy are


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


498) What is the power of a 100 W bulb in CGS units?


499) One femtometre is equivalent to


500) The unit of L/R is (where L=inductance and R= Resistance)


501) The dimensions of calorie are


502) The dimensions of potential are the same as that of


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


504) 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


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


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


507) Young’s modulus of a material has the same units as


508) The unit of e.m.f. is


509) Coefficient of thermal conductivity has the dimensions


510) Error in the measurement of radius of sphere is 2%. The error in the measurement of volume is


511) Curie is a unit of


512) The dimensions of electric potential are


513) The dimensions of gravitational constant G and the moment of inertia are respectively


514) Which physical quantities have same dimensions?


515) The dimensional formula of latent heat is


516) Which of the following is not the unit of energy?


517) 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


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


519) The dimensional formula of magnetic permeability is


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


521) Faraday is the unit of


522) The dimensions of Planck’s constant are


523) 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


524) The dimensions of coefficient of thermal conductivity is


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


526) Which one of the following represents the correct dimensions of the coefficient of viscosity?


527) Energy per unit volume represents


528) 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


529) 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


530) SI unit of intensity of wave is


531) Which of the following quantities has not been expressed in proper unit?


532) 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?


533) The unit of magnetic moment is


534) Dimensional formula of Stefan’s constant is


535) newton-second is the unit of


536) Which of the two have same dimensions


537) The dimensional formula of magnetic induction B is


538) 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


539) Universal time is based on


540) 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


541) Which of the following sets of quantities have same dimensional formula?


542) Dimensions of strain are


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


544) The value of 0.99-0.989 is


545) The dimensional formula for areal velocity is


546) Temperature can be expressed as a derived quantity in terms of any of the following


547) Unit of stress is


548) 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


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


550) 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


551) Which does not have the same unit as others?


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


553) 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


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


555) Wavelength of ray of light is 0.00006 m. It is equal to


556) Dimensions of permeability are


557) Ins is defined as


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


559) Unit of moment of inertia in MKS system


560) The percentage error in the above problem is


561) Force constant has the same dimensions as


562) What is dimensional formula of thermal conductivity?


563) Universal time is based on


564) Identify the pair which has different dimensions


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


566) The difference in the lengths of a mean solar day and a sidereal day is about


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


568) 1kWh =


569) 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


570) Coefficient of thermal conductivity has the dimensions


571) Which physical quantities have same dimensions?


572) 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


573) Dimensional formula for the universal gravitational constant G is


574) Select the pair whose dimensions are same


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


576) The unit of specific resistance is


577) Dimension of electric current is


578) Henry/ohm can be expressed in


579) The dimensions of time constant are


580) The dimensions of Planck’s constant is same as that of


581) Parsec is a unit of


582) Dimensional formula for volume elasticity is


583) The square root of the product of inductance and capacitance has the dimension of


584) Dimensions of coefficient of viscosity are


585) Which physical quantities have same dimensions?


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


587) 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


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


589) 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


590) 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


591) Find the dimensions of electric permittivity


592) The dimensional formula of universal gas constant is


593) 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


594) The dimensions of potential are the same as that of


595) The dimensional formula of the ratio of angular to linear momentum is


596) 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?


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


598) The dimensional formula for the magnetic field is


599) The dimensions of stress are equal to


600) 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


601) Which one of the following does not have the same dimensions?


602) Dimensional formula of heat energy is


603) 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


604) The dimensions of universal gravitational constant are


605) 1a.m.u. is equivalent to


606) The dimensional formula for impulse is