A) P, T, h
B) P, h, T
C) T, P, h
D) r, h, P
Correct Answer: A
Solution :
Dimensions of power \[(P)=\frac{work}{time}=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[T]}\] \[=[M{{L}^{2}}{{T}^{-3}}]\] Dimensions of surface tension \[(T)=\frac{force}{length}\] \[=\frac{[ML{{T}^{-2}}]}{[L]}\] \[=[M{{L}^{0}}{{T}^{-2}}]\] Dimensions of Plancks constant \[(h)=\frac{energy}{frequency}\] \[=\frac{[M{{L}^{2}}{{T}^{-2}}]}{[{{T}^{-1}}]}\] \[[M{{L}^{2}}{{T}^{-1}}]\] From the dimensional formulae, the ascending order of time is power, surface tension and Plancks constant.
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