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]