The quantities A and B are related by the relation, m = A/B, where m is the linear density and A is the force. The dimensions of B are of

(1) Pressure

(2) Work

(3) Latent heat

(4) None of the above

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The velocity of water waves v may depend upon their wavelength λ, the density of water ρ and the acceleration due to gravity g. The method of dimensions gives the relation between these quantities as 

(1) v2gλ-1ρ-1

(2) v2gλρ

(3) v2gλ

(4) v2g1λ3

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The dimensions of resistivity in terms of M, L, T and Q where Q stands for the dimensions of charge, is 

(1) ML3T1Q2

(2) ML3T2Q1

(3) ML2T1Q1

(4) MLT1Q1

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The dimensions of Farad are , where Q represents electric charge         [Only for droppers]

(1) M1L2T2Q2

(2) M1L2TQ

(3) M1L2T2Q

(4) M1L2TQ2

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The equation of a wave is given by Y=Asinω(xvk) where ω is the angular velocity, x is length and v is the linear velocity. The dimension of k is 

(1) LT

(2) T

(3) T1

(4) T2

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Dimensional formula of stress is

(1) M0LT2

(2) M0L1T2

(3) ML1T2

(4) ML2T2

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Dimensional formula of velocity of sound is

(1) M0LT2

(2) LT0

(3) M0LT1

(4) M0L1T1

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Dimensional formula of capacitance is 

(1) M1L2T4A2

(2) ML2T4A2

(3) MLT4A2

(4) M1L2T4A2

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MLT1 represents the dimensional formula of 

(1) Power

(2) Momentum

(3) Force

(4) Couple

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Dimensional formula of heat energy is  

(1) ML2T2

(2) MLT1

(3) M0L0T2

(4) None of these

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