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Q.

If energy E, length L, and time T are taken as fundamental quantities. The dimensional formula of gravitational constant is

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a

FL6E−2

b

FL5T−1

c

E2FL6T3

d

E3F−1L6T6

answer is .

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Detailed Solution

∴  E = ML2T−2⇒ M = EL−2T2∴  F = Gm1m2r2⇒ G = Fr2m1m2 = FL2M−2FL2EL−2T−2−2 = FL6E−2
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If energy E, length L, and time T are taken as fundamental quantities. The dimensional formula of gravitational constant is