Physics - Units Measurement - Quiz-7

Identify the pair which has different dimensions:

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Planck's constant and angular momentum
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Impulse and linear momentum
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Angular momentum and frequency
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Pressure and Young's modulus

The dimensional formula $M^{0} L^{2} T^{- 2}$ stands for

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Torque
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Angular momentum
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Latent heat
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Coefficient of thermal conductivity

Which of the following represents the dimensions of Farad

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$M^{- 1} L^{- 2} T^{4} A^{2}$
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$M L^{2} T^{2} A^{- 2}$
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$M L^{2} T^{2} A^{- 1}$
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$M T^{- 2} A^{- 1}$

If L, C and R denote the inductance, capacitance and resistance respectively, the dimensional formula for C²LR is

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$[M L^{- 2} T^{- 1} I^{0}]$
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$[M^{0} L^{0} T^{3} I^{0}]$
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$[M^{- 1} L^{- 2} T^{6} I^{2}]$
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$[M^{0} L^{0} T^{2} I^{0}]$

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

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$c^{1 / 2} G^{1 / 2} h^{1 / 2}$
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$c^{1 / 2} G^{1 / 2} h^{- 1 / 2}$
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$c^{1 / 2} G^{- 1 / 2} h^{1 / 2}$
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$c^{- 1 / 2} G^{1 / 2} h^{1 / 2}$

Dimensions of charge are:

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$M^{0} L^{0} T^{- 1} A^{- 1}$
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MLTA^–1
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T^–1A
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TA

According to Newton, the viscous force acting between liquid layers of area A and velocity gradient $Δ v / Δ z$ is given by $F = - η A \frac{Δ v}{Δ z}$ where $η$ is constant called coefficient of viscosity. The dimension of $η$ are

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

Identify the pair whose dimensions are equal

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Torque and work
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Stress and energy
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Force and stress
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Force and work

The dimensions of pressure are equal to:

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Force per unit volume
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Energy per unit volume
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Force
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Energy

Which of the two have the same dimensions?

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Force and strain
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Force and stress
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Angular velocity and frequency
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Energy and strain

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

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ML^–1T^–1
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MLT^–1
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M⁰LT^–1
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ML⁰T^–1

The dimensions of emf in MKS are-

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$[M^{0} L^{2} T^{- 3} A^{- 1}]$
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$[{ML}^{1} T^{- 3} A^{- 1}]$
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$[{ML}^{2} T^{- 2} A^{- 1}]$
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$[{ML}^{2} T^{- 3} A^{- 1}]$

Which of the following quantities is dimensionless

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Gravitational constant
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Planck's constant
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Power of a convex lens
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None

The dimensional formula for Boltzmann's constant is

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

The dimensions of K in the equation $W = \frac{1}{2} K x^{2}$ is

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$M^{1} L^{0} T^{- 2}$
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$M^{0} L^{1} T^{- 1}$
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$M^{1} L^{1} T^{- 2}$
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$M^{1} L^{0} T^{- 1}$

The physical quantities not having the same dimensions are:

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Speed and ${(μ_{0} ε_{0})}^{- 1 / 2}$
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Torque and work
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Momentum and Planck's constant
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Stress and Young's modules

The dimensional formula of relative density is:

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ML^–3
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LT^–1
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MLT^–2
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Dimensionless

The dimensional formula for young's modulus is

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$M L^{- 1} T^{- 2}$
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$M^{0} L T^{- 2}$
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MLT^–2
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$M L^{2} T^{- 2}$

Frequency is the function of density $(ρ)$ , length (a) and surface tension (T). Then its value is

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$\frac{\sqrt{T}}{{kρ}^{1 / 2} a^{3 / 2}}$
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$k ρ^{3 / 2} a^{3 / 2} / \sqrt{T}$
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$\frac{T^{3 / 2}}{{kρ}^{1 / 2} a^{3 / 2}}$
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$\frac{T^{3 / 2}}{{kρ}^{1 / 2} a^{1 / 2}}$

The dimensions of electric potential are:

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

The dimension of $\frac{R}{L}$ are

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T²
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T
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T^–1
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T^–2

The dimensions of shear modulus are

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

Pressure gradient has the same dimensions as that of:

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Velocity gradient
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Potential gradient
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Energy gradient
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None of these

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

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

In the relation $y = a \cos (ω t - k x)$ , the dimensional formula for k will be

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

"Pascal-Second" has dimension of

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Force
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Energy
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Pressure
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Coefficient of viscosity

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

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FA²T
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FAT²
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F²AT
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FAT

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

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Frequency
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Velocity
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Angular momentum
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Time

Which of the following group have different dimensions?

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Potential difference, EMF, voltage
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Pressure, stress, young's modulus
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Heat, energy, work-done
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Dipole moment, electric flux, electric field

Out of the following four-dimensional quantities, which one quantity is to be called a dimensional constant?

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Acceleration due to gravity
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Surface tension of water
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Weight of a standard kilogram mass
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The velocity of light in a vacuum

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Practice Physics Quiz Questions and Answers

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Practice Physics Quiz Questions and Answers

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