If pressure P , velocity V and time T are taken as fundamental physical quantities, the dimensional formula of force is

Question

If pressure P , velocity V and time T are taken as fundamental physical quantities, the dimensional formula of force is, P V 2 T 2, P − 1 V 2 T − 2, P V T 2, P − 1 V T 2

MARKS App · Accepted Answer

Let F ∝ P x V y T z by substituting the following dimensions : [ P ] = [ M L − 1 T − 2 ] [ V ] = [ L T − 1 ] , [ T ] = [ T ] and comparing the dimension of both sides x = 1 , y = 2 , z = 2 , so F = P V 2 T 2

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