If mass is written as m = k c P G - 1 / 2 h 1 / 2 , then the value of P will be : (Constants have their usual meaning with k a dimensionless constant)

Step-by-step solution

Given: m = k c P G - 1 / 2 h 1 / 2 Writing dimensions on both sides, we get M 1 L 0 T 0 = LT - 1 P M - 1 L 3 T - 2 - 1 / 2 ML 2 T - 1 1 / 2 By comparing exponent of L on both the sides, we get 0 = P - 3 2 + 1 ⇒ P = 1 2