The physical quantities not having same dimensions are 

(1) Speed and (μ0ε0)1/2

(2) Torque and work

(3) Momentum and Planck's constant

(4) Stress and Young's modules

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Dimension of R is 

(1) ML2T1

(2) ML2T3A2

(3) ML1T2

(4) None of these

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The dimensional formula of relative density is 

(1) ML–3

(2) LT–1

(3) MLT–2

(4) Dimensionless

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The dimensional formula for young's modulus is 

(1) ML1T2

(2) M0LT2

(3) MLT–2

(4) ML2T2

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

(1) T1/2a3/2

(2) kρ3/2a3/2/T

(3) T3/21/2a3/2

(4) T3/21/2a1/2

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The dimensions of electric potential are 

(1) [ML2T2Q1]

(2) [MLT2Q1]

(3) [ML2T1Q]

(4) [ML2T2Q]

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Dimensions of potential energy are 

(1) MLT–1

(2) ML2T2

(3) ML1T2

(4) ML1T1

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The dimension of RL are

(1) T2

(2) T

(3) T–1

(4) T–2

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The dimensions of shear modulus are

(1) MLT–1

(2) ML2T2

(3) ML1T2

(4) MLT2

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Pressure gradient has the same dimension as that of 

(1) Velocity gradient

(2) Potential gradient

(3) Energy gradient

(4) None of these

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