Physics - Units Measurement - Quiz-6

Dimensional formula for torque is

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$L^{2} M T^{- 2}$
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$L^{- 1} M T^{- 2}$
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$L^{2} M T^{- 3}$
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$L M T^{- 2}$

Dimensions of coefficient of viscosity are

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$M L^{2} T^{- 2}$
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$M L^{2} T^{- 1}$
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$M L^{- 1} T^{- 1}$
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MLT

The dimension of quantity (L/RCV) is

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[A]
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[A²]
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$[A^{- 1}]$
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None of these

The pair having the same dimensions is:

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Angular momentum, work
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Work, torque
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Potential energy, linear momentum
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Kinetic energy, velocity

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

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Linear momentum and moment of a force
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Planck's constant and angular momentum
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Pressure and modulus of elasticity
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Torque and potential energy

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

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$F A^{- 1} v$
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$F v^{3} A^{- 2}$
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$F v^{2} A^{- 1}$
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$F^{2} v^{2} A^{- 1}$

Dimensions of the following three quantities are the same:

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Work, energy, force
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Velocity, momentum, impulse
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Potential energy, kinetic energy, momentum
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Pressure, stress, coefficient of elasticity

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

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$M L^{2} T^{- 1}$ and $M L T^{- 1}$
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$M L^{2} T^{- 1}$ and $M L^{2} T^{- 1}$
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$M L T^{- 1}$ and $M L^{2} T^{- 1}$
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$M L T^{- 1}$ and $M L^{2} T^{- 2}$

Let $[ε_{0}]$ denotes the dimensional formula of the permittivity of the vacuum and $[μ_{0}]$ that of the permeability of the vacuum. If M = mass, L = length, T = Time and I = electric current, then

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$[ε_{0}] = M^{- 1} L^{- 3} T^{2} I$
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$[ε_{0}] = M^{- 1} L^{- 3} T^{4} I^{2}$
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$[μ_{0}] = M L T^{- 2} I^{- 3}$
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$[μ_{0}] = M L^{2} T^{- 1} I$

Dimensions of CR are those of

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Frequency
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Energy
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Time period
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Current

The physical quantity that has no dimensions

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Angular Velocity
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Linear momentum
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Angular momentum
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Strain

$M L^{- 1} T^{- 2}$ represents

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Stress
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Young's Modulus
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Pressure
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All the above three quantities

Dimensions of magnetic field intensity is

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$[M^{0} L^{- 1} T^{0} A^{1}]$
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$[M L T^{- 1} A^{- 1}]$
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$[M L^{0} T^{- 2} A^{- 1}]$
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$[M L T^{- 2} A]$

The force F on a sphere of radius ‘a’ moving in a medium with velocity ‘v’ is given by $F = 6 π η a v$ . The dimensions of $η$ are

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$M L^{- 1} T^{- 1}$
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$M T^{- 1}$
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$M L T^{- 2}$
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$M L^{- 3}$

Which physical quantities have the same dimensions?

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Couple of force and work
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Force and power
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Latent heat and specific heat
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Work and power

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

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A/B
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A + B
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A – B
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None

Given that v is speed, r is the radius and g is the acceleration due to gravity. Which of the following is dimensionless?

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$v^{2} / r g$
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$v^{2} r / g$
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$v^{2} g / r$
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$v^{2} r g$

The physical quantity which has the dimensional formula $M^{1} T^{- 3}$ is

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Surface tension
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Solar constant
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Density
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Compressibility

A force F is given by F = at + bt², where t is time. What are the dimensions of a and b:

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$M L T^{- 3}$ and $M L^{2} T^{- 4}$
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$M L T^{- 3}$ and $M L T^{- 4}$
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$M L T^{- 1}$ and $M L T^{0}$
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$M L T^{- 4}$ and $M L T^{1}$

The dimensions of the interatomic force constant are:

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$M T^{- 2}$
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$M L T^{- 1}$
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$M L T^{- 2}$
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$M L^{- 1} T^{- 1}$

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

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$c^{2} g^{0} p^{- 2}$
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$c^{0} g^{2} p^{- 1}$
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$c g^{3} p^{- 2}$
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$c^{- 1} g^{0} p^{- 1}$

If the time period (T) of vibration of a liquid drop depends on surface tension (S), radius (r) of the drop and density $(ρ)$ of the liquid, then the expression of T is

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$T = k \sqrt{ρ r^{3} / S}$
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$T = k \sqrt{ρ^{1 / 2} r^{3} / S}$
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$T = k \sqrt{ρ r^{3} / S^{1 / 2}}$
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None of these

$M L^{3} T^{- 1} Q^{- 2}$ is dimension of

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Resistivity
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Conductivity
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Resistance
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None of these

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

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Mass, time
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Time, length
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Mass, length
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Time, mole

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

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$P V^{2} T^{2}$
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$P^{- 1} V^{2} T^{- 2}$
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$P V T^{2}$
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$P^{- 1} V T^{2}$

The physical quantity which has dimensional formula as that of $\frac{Energy}{Mass \times Length}$ is

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Force
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Power
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Pressure
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Acceleration

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

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$E v^{2}$
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$E v^{- 2}$
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$F v^{- 1}$
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$F v^{- 2}$

A physical quantity x depends on quantities y and z as follows: x = Ay + BtanCz, where A, B and C are constants. Which of the following do not have the same dimensions?

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x and B
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C and z^–1
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y and B/A
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x and A

Which of the following pair does not have similar dimensions

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Stress and pressure
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Angle and strain
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Tension and surface tension
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Planck's constant and angular momentum

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

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Planck's constant and angular momentum
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Work and energy
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Pressure and Young's modulus
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Torque & moment of inertia

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Practice Physics Quiz Questions and Answers

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Practice Physics Quiz Questions and Answers

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