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Q.

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

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a

(Velocity)2/mass per unit length

b

Force/mass

c

(Momentum)2/force

d

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