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

(1) $E{v}^{2}$

(2) $E{v}^{-2}$

(3) $F{v}^{-1}$

(4) $F{v}^{-2}$

Concept Questions :-

Dimensions
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Dimensions of luminous flux are

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

(2) $M{L}^{2}{T}^{-3}$

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

(4) $ML{T}^{-2}$

Concept Questions :-

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

(1) x and B

(2) C and z–1

(3) y and B/A

(4) x and A

Concept Questions :-

Dimensions
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Which of the following pair does not have similar dimensions

(1) Stress and pressure

(2) Angle and strain

(3) Tension and surface tension

(4) Planck's constant and angular momentum

Concept Questions :-

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

(1) Planck's constant and angular momentum

(2) Work and energy

(3) Pressure and Young's modulus

(4) Torque & moment of inertia

Concept Questions :-

Dimensions
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Identify the pair which has different dimensions

(1) Planck's constant and angular momentum

(2) Impulse and linear momentum

(3) Angular momentum and frequency

(4) Pressure and Young's modulus

Concept Questions :-

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

(1) Torque

(2) Angular momentum

(3) Latent heat

(4) Coefficient of thermal conductivity

Concept Questions :-

Dimensions
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Which of the following represents the dimensions of Farad

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

(2) $M{L}^{2}{T}^{2}{A}^{-2}$

(3) $M{L}^{2}{T}^{2}{A}^{-1}$

(4) $M{T}^{-2}{A}^{-1}$

Concept Questions :-

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

(1) $\left[M{L}^{-2}{T}^{-1}{I}^{0}\right]$

(2) $\left[{M}^{0}{L}^{0}{T}^{3}{I}^{0}\right]$

(3) $\left[{M}^{-1}{L}^{-2}{T}^{6}{I}^{2}\right]$

(4) $\left[{M}^{0}{L}^{0}{T}^{2}{I}^{0}\right]$

Concept Questions :-

Dimensions
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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

(1) ${c}^{1/2}{G}^{1/2}{h}^{1/2}$

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

(3) ${c}^{1/2}{G}^{-1/2}{h}^{1/2}$

(4) ${c}^{-1/2}{G}^{1/2}{h}^{1/2}$

Concept Questions :-

Dimensions
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