STANDARDPhysics-Dimensional Analysis

STANDARD Physics Dimensional Equations MCQ Question

Type: MCQ-conceptual-Medium

If the energy, E = Gⁿhᵖcʳ, where G is the universal gravitational constant, h is the Planck's constant and c is the velocity of light, then the values of p, q and r are, respectively

A

−1/2, 1/2 and 5/2

B

1/2, −1/2 and −5/2

C

−1/2, 1/2 and 3/2

D

1/2, −1/2 and −3/2

Correct Answer

Option A

Detailed Explanation

Applying the principle of homogeneity of dimensions, we solve the equations derived from the dimensional formula to find p = −1/2, q = 1/2, and r = 5/2.

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