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If force (F), velocity (V) and time (T) are taken as fundamental units. then the dimensions of mass are

(a) [FVT-1]

(b) [FVT-2]

(c) [FV-1T-1]

(d) [FT-1T]

1 Answer

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Best answer

Correct Option (d) [FT-1T]

Explanation:

where k is a dimensionless constant and a, b and c are the exponents.

Writing dimensions on both sides, we get

Applying the principle of homogeneity of dimensions, we get

a = 1 ..(ii)

a+b = 0  ...(iii)

-2a - b + c = 0  ...(iv)

Solving eqns. (ii), (iii) and (iv), we get

a = 1, b = -1, c = 1

Fromeqn. (i), [m] = [FV-1T]

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