If momentum ( P ) , area ( A ) and time ( T ) are taken to be the fundamental quantities then the dimensional formula for energy is :

Question

If momentum ( P ) , area ( A ) and time ( T ) are taken to be the fundamental quantities then the dimensional formula for energy is :, P 2 AT - 2, PA - 1 T - 1, PA 1 / 2 T - 1, P 1 / 2 AT - 1

MARKS App · Accepted Answer

Let dimension formula of energy will be E = A a T b P c P = M 1 L 1 T - 1 A = L 2 T = T 1 M 1 L 2 T - 2 = M C L 2 a + c T b - c by comparison C = 1 . . . . . . . . . 1 2 a + c = 2 . . . . . . 2 b - c = - 2 . . . . . . . . 3 c = 1 , a = 1 / 2 , b = - 1 E = A 1 / 2 T - 1 P 1

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