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Q.

The dimensions of universal gravitational constant are:

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a

M−1L3T−2

b

ML2T−1

c

M−2L3T−2

d

M−2L2T−1

answer is A.

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Detailed Solution

According to Newton’s law of gravitation, the force of attraction between two masses m1 and m2 separated by a distance r is,F = Gm1m2r2 ⇒ G = Fr2m1m2Substituting the dimensions for the quantities on the right hand side, we obtain dimensions ofG= MLT−2L2M2 = M−1L3T−2

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