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Q.

If frequency F, velocity V, and density D are considered fundamental units, the dimensional formula for momentum will be

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a

DVF2

b

DV2F−1

c

D2V2F2

d

DV4F−3

answer is D.

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Detailed Solution

Momentum, p=mv=MLT−1=ML−3L4T−4T3                                                    =DV4F−3∵ dimensional formula for density is ML-3;  dimensional formula for velocity is LT-1  and for frequency F is T-1
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If frequency F, velocity V, and density D are considered fundamental units, the dimensional formula for momentum will be