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If the speed of light (c), acceleration due to gravity (g) and pressure (p) are taken as the fundamental quantities. The dimensional formula of gravitational constant is

a
FL6E−2
b
FL5T−1
c
E2FL6T3
d
E3F−1L6T6

detailed solution

Correct option is B

Let  G ∝ cxgypzBy substituting the following dimensions:G = M−1L3T−2, c = LT−1, g = LT−2p = ML−1T−2And by comparing the powers of both sidesWe can get x = 0, y = 2. Z = -1∴   G ∝ c0g2p−1

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