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Q.

If force (F), work (W) and velocity (V) are taken as fundamental quantities then the dimensional formula of Time (T) is

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a

$[W^{1} F^{- 1} V^{- 1}]$

b

$[W^{1} F^{1} V^{- 1}]$

c

$[W^{- 1} F^{- 1} V^{- 1}]$

d

$[W^{1} F^{1} V^{1}]$

answer is D.

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Detailed Solution

${TαF}^{x} W^{y} V^{z}; M^{0} L^{0} T^{1} α {[{MLT}^{- 2}]}^{x} {[{ML}^{2} T^{- 2}]}^{y} {[{LT}^{- 1}]}^{z}$

ALTERNATE METHOD:

$P O W E R = \frac{W}{T} = F V T = W F^{- 1} V^{- 1}$

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