Dimensions of time in power are

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Question

(C) Power $(P)$ is defined as the rate of doing work or the rate of energy transfer.$P = \frac{	ext{Work}}{	ext{Time}} = \frac{W}{t}$The dimensional

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$T^{-3}$

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(C) Power $(P)$ is defined as the rate of doing work or the rate of energy transfer.$P = \frac{	ext{Work}}{	ext{Time}} = \frac{W}{t}$The dimensional formula for work $(W)$ is $[ML^2T^{-2}]$.The dimensional formula for time $(t)$ is $[T]$.Therefore,the dimensional formula for power is:$P = \frac{[ML^2T^{-2}]}{[T]} = [ML^2T^{-3}]$Comparing this with the general dimensional formula $[M^aL^bT^c]$,the dimension of time is $c = -3$.Thus,the correct option is $C$.

Column-$I$	Column-$II$
$(A)$ Electrical resistance	$(p)$ $M L^3 T^{-3} A^{-2}$
$(B)$ Electrical potential	$(q)$ $M L^2 T^{-3} A^{-2}$
$(C)$ Specific resistance	$(r)$ $M L^2 T^{-3} A^{-1}$
$(D)$ Specific conductance	$(s)$ None of these

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