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Q.

If force F, length L and time T be considered fundamental units of mass will be

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a

[FLT−2]

b

[FL−2T−1]

c

[FL−1T2]

d

[F2LT−2]

answer is C.

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Detailed Solution

Let [M]∝[FaLbTc]So, using dimensions, we have[M1L0T0]=K[MLT−2]a[L]b[T]c=K[MaLa+bT−2a+b]We have, a =1, a = b = 0 and k =1 ∴          b=−1and −2a+c=0⇒c=2So unit of mass is [FL−1T2]
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If force F, length L and time T be considered fundamental units of mass will be