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Q.

If force (F), Velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are

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a

FV-1 T-1

b

FV-1 T

c

FVT-1

d

FVT-2

answer is B.

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Detailed Solution

m=FaVbTcm=MLT-2aLT-1bTcm=MaLa+bT-2a-b+ca=1a+b=0⇒b=-a=-1-2a-b+c=0⇒-2+1+c=0c=1m=FV-1T
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If force (F), Velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are