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Question

Physics Question on Dimensional Analysis

The dimensional formula of Planck's constant is

A

[ML2T−1][ML^2T^{-1}]

B

[ML3T−1][ML^3T^{-1}]

C

[ML−2T−1][ML^-2T^-1]

D

[M0L−1T−3][M^0L^-1T^-3]

Answer

[ML2T−1][ML^2T^{-1}]

Explanation

Solution

Planck?? constant (h) = Energy in each photonFrequency of radiation\frac{\text{Energy in each photon}}{\text{Frequency of radiation}} =[E][v]=[ML2T−2][T−1]=\frac{\left[E\right]}{\left[v\right]} =\frac{\left[ML^{2}T^{-2}\right]}{\left[T^{-1}\right]} =[ML2T−1]=\left[ML^{2}T^{-1}\right]