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

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The dimensional formula M0L2T2 stands for

(1) Torque

(2) Angular momentum

(3) Latent heat

(4) Coefficient of thermal conductivity

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Which of the following represents the dimensions of Farad 

(1) M1L2T4A2

(2) ML2T2A2

(3) ML2T2A1

(4) MT2A1

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

(1) [ML2T1I0]

(2) [M0L0T3I0]

(3) [M1L2T6I2]

(4) [M0L0T2I0]

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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) c1/2G1/2h1/2

(2) c1/2G1/2h1/2

(3) c1/2G1/2h1/2

(4) c1/2G1/2h1/2

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Dimensions of charge are 

(1) M0L0T1A1

(2) MLTA–1

(3) T–1A

(4) TA

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According to Newton, the viscous force acting between liquid layers of area A and velocity gradient Δv/Δz is given by F=ηAΔvΔz where η is constant called coefficient of viscosity. The dimension of η are 

(1) [ML2T2]

(2) [ML1T1]

(3) [ML2T2]

(4) [M0L0T0]

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Identify the pair whose dimensions are equal  

(1) Torque and work

(2) Stress and energy

(3) Force and stress

(4) Force and work

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The dimensions of pressure is equal to 

(1) Force per unit volume

(2) Energy per unit volume

(3) Force

(4) Energy

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Which of the two have same dimensions 

(1) Force and strain

(2) Force and stress

(3) Angular velocity and frequency

(4) Energy and strain

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