### Units and Dimensions (Physics) Quiz:

**Ques.** Universal time is based on

(a) Earth’s orbital motion around the earth

(b) Rotation of the earth on its axis

(c) Oscillations of quartz crystal

(d) Vibrations of cesium atom

**Ques.** Light year is a unit of

(a) Time

(b) Mass

(c) Distance

(d) Energy

**Ques.** If the unit of length and force be increased four times, then the unit of energy is

(a) Increased 4 times

(b) Increased 8 times

(c) Increased 16 times

(d) Decreased 16 times

**Ques.** Young’s modulus of a material has the same units as

(a) Pressure

(b) Strain

(c) Compressibility

(d) Force

**Ques.** Which of the following is not a unit of energy?

(a) W – s

(b) kg – m /sec

(c) N – m

(d) Joule

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**Ques.** Which of the following is not the unit of time?

(a) Micro second

(b) Leap year

(c) Lunar months

(d) Parallactic second

**Ques.** Unit of energy in SI system is

(a) Erg

(b) Calorie

(c) Joule

(d) Electron volt

**Ques.** Which of the following quantity is expressed as force per unit area?

(a) Work

(b) Pressure

(c) Volume

(d) Area

**Ques.** In C.G.S. system the magnitude of the force is 100 *dynes*. In another system where the fundamental physical quantities are kilogram, *metre* and minute, the magnitude of the force is

(a) 0.036

(b) 0.36

(c) 3.6

(d) 36

**Ques.** Wavelength of ray of light is 0.00006 m. It is equal to

(a) 6 microns

(b) 60 microns

(c) 600 microns

(d) 0.6 microns

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**Ques.** Which of the following system of units is not based on units of mass, length and time alone?

(a) SI

(b) MKS

(c) FPS

(d) CGS

**Ques.** Temperature can be expressed as a derived quantity in terms of any of the following

(a) Length and mass

(b) Mass and time

(c) Length, mass and time

(d) None of these

**Ques.** *Candela* is the unit of

(a) Electric intensity

(b) Luminous intensity

(c) Sound intensity

(d) None of these

**Ques.** Which of the following is dimensionally correct?

(a) Pressure = Energy per unit area

(b) Pressure = Energy per unit volume

(c) Pressure = Force per unit volume

(d) Pressure = Momentum per unit volume per unit time

**Ques.** Which is the correct unit for measuring nuclear radii

(a) Micron

(b) Millimetre

(c) Angstrom

(d) Fermi

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**Ques.** The dimensional formula for impulse is same as the dimensional formula for

(a) Momentum

(b) Force

(c) Rate of change of momentum

(d) Torque

**Ques.** What is the SI unit of permeability?

(a) Henry per metre

(b) Tesla metre per ampere

(c) Weber per ampere metre

(d) All the above units are correct

**Ques.** Which pair has the same dimensions?

(a) Work and power

(b) Density and relative density

(c) Momentum and impulse

(d) Stress and strain

**Ques.** Of the following quantities, which one has dimensions different from the remaining three

(a) Energy per unit volume

(b) Force per unit area

(c) Product of voltage and charge per unit volume

(d) Angular momentum per unit mass

**Ques.** In which of the following systems of unit, Weber is the unit of magnetic flux

(a) CGS

(b) MKS

(c) SI

(d) None of these

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**Ques.** Which of the following quantities has the same dimensions as that of energy?

(a) Power

(b) Force

(c) Momentum

(d) Work

**Ques.** *Henry*/*ohm* can be expressed in

(a) Second

(b) Coulomb

(c) Mho

(d) Metre

**Ques.** Which of the following pairs of physical quantities has the same dimensions?

(a) Work and power

(b) Momentum and energy

(c) Force and power

(d) Work and energy

**Ques.** The foundations of dimensional analysis were laid down by

(a) Gallileo

(b) Newton

(c) Fourier

(d) Joule

**Ques.** Which physical quantities have the same dimension?

(a) Couple of force and work

(b) Force and power

(c) Latent heat and specific heat

(d) Work and power

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**Ques.** Dimensions of the following three quantities are the same

(a) Work, energy, force

(b) Velocity, momentum, impulse

(c) Potential energy, kinetic energy, momentum

(d) Pressure, stress, coefficient of elasticity

**Ques.** Out of the following, the only pair that does not have identical dimensions is

(a) Angular momentum and Planck’s constant

(b) Moment of inertia and moment of a force

(c) Work and torque

(d) Impulse and momentum

**Ques.** 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

(a) Pressure

(b) Work

(c) Latent heat

(d) None of the above

**Ques.** The dimensions of “time constant” L/R during growth and decay of current in all inductive circuit is same as that of

(a) Constant

(b) Resistance

(c) Current

(d) Time

**Ques.** Which one of the following does not have the same dimensions?

(a) Work and energy

(b) Angle and strain

(c) Relative density and refractive index

(d) Planck constant and energy

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**Ques.** The pair having the same dimensions is

(a) Angular momentum, work

(b) Work, torque

(c) Potential energy, linear momentum

(d) Kinetic energy, velocity

**Ques.** In the following list, the only pair which have different dimensions, is

(a) Linear momentum and moment of a force

(b) Planck’s constant and angular momentum

(c) Pressure and modulus of elasticity

(d) Torque and potential energy

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

(a) A / B

(b) A + B

(c) A – B

(d) None

**Ques.** SI unit of pressure is

(a) Pascal

(b) Watt

(c) Ampere

(d) Joule

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

(a) 500

(b) 5

(c) 0.5

(d) 5000

**Ques.** Newton–*second* is the unit of

(a) Velocity

(b) Angular momentum

(c) Momentum

(d) Energy

**Ques.** Volt/metre is the unit of

(a) Potential

(b) Work

(c) Force

(d) Electric intensity

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**Ques.** One *second* is equal to

(a) 1650763.73 time periods of Kr clock

(b) 652189.63 time periods of Kr clock

(c) 1650763.73 time periods of Cs clock

(d) 9192631770 time periods of Cs clock

**Ques.** If force, length and time would have been the fundamental units, what would have been the dimensional formula for mass?

(a) FL^{-1}T^{2}

(b) FLT^{-2}

(c) FLT^{-1}

(d) F

**Ques.** Tesla is a unit for measuring

(a) Magnetic moment

(b) Magnetic induction

(c) Magnetic intensity

(d) Magnetic pole strength

**Ques.** A cube has numerically equal volume and surface area. The volume of such a cube is

(a) 216 units

(b) 1000 units

(c) 2000 units

(d) 3000 units

**Ques.** A sphere of radius ‘*a*’ moving with velocity *v* under streamline conditions in a viscous fluid experiences a retarding force F given by F = K *a* *v* where K is a constant. The dimensions of K are

(a) M^{0}L^{0}T^{0}

(b) ML^{-1}T^{-1}

(c) ML^{-2}T^{-1}

(d) M^{0}L^{-2}T^{-2
}

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**Ques.** The unit of reduction factor of tangent galvanometer is

(a) Ampere

(b) Gauss

(c) Radian

(d) None of these

**Ques.** Given that force F is Given by F = Pt^{-1} + Qt, where *t* is the time. The unit of P is same as that of

(a) acceleration

(b) velocity

(c) displacement

(d) momentum

**Ques.** Electron *volt* is a unit of

(a) Charge

(b) Potential difference

(c) Momentum

(d) Energy

**Ques.** Parsec is a unit of

(a) Distance

(b) Velocity

(c) Time

(d) Angle

**Ques.** Which of the following is not a unit of time?

(a) solar year

(b) tropical year

(c) leap year

(d) light year

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**Ques.** Distance traveled by a particle at any instant ‘*t*’ can be represented as S = A (*t* + B) + C*t*^{2}. The dimensions of B are

(a) M^{0}L^{1}T^{-1
}(b) M^{0}L^{0}T^{1
}(c) M^{0}L^{1}T^{-2
}(d) M^{0}L^{2}T^{-2
}

**Ques.** What are the dimensions of gravitational protential?

(a) M^{1}L^{2}T^{-2
}(b) M^{0}L^{2}T^{2
}(c) M^{0}L^{-2}T^{-2
}(d) M^{0}L^{2}T^{-2
}

**Ques.** If E, M, J and G denote energy, mass, angular momentum and gravitational constant respectively, then EJ^{2} / M^{5}G^{2} has the dimensions of

(a) length

(b) mass

(c) time

(d) angle

**Ques.** A gas bubble from an explosion under water oscillates with a period T proportional to P^{a}*d ^{b}* E

*, where P is static pressure ,*

^{c}*d*is density and E is total energy of explosion. The values of

*a, b, c*are

(a)

*a*= 0,

*b*= 1,

*c*= 2

(b)

*a*=1,

*b*= 2,

*c*= 3

(c)

*a*= 5 / 6,

*b*= -1 / 2,

*c*= 1 / 3

(d)

*a*= – 5 / 6,

*b*= 1 / 2,

*c*= 1 / 3

**Ques.** If the units of length and force are increased four times each, the unit of energy is increased

(a) 4 times

(b) 16 times

(c) 8 times

(d) no increase

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**Ques.** The dimensions of the quantities in one (or more) of the following pairs are the same. Identify the pairs :

(a) torque and work

(b) angular momentum and work

(c) energy and Young’s modulus

(d) light year and wavelength.