Which of the following quantities has the same dimensions as the gravitational constant?

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(Velocity)2/mass per unit length

Force/mass

(Momentum)2/force

Work/time

answer is A.

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Detailed Solution

[G]=M-1L3T-2 [Velocity]2[Mass per unit length]=M-1L3T-2 [Force][Mass]=LT-2 [Momentum]2[Force]=ML [Work][Time]=ML2T-3

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