The dimensional formula of wave number is

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Question

(B) The wave number is defined as the reciprocal of the wavelength $(\lambda)$.Wave number = $\frac{1}{\lambda}$.Since the wavelength $(\lambda)$ is a

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${M^0}{L^{-1}}{T^0}$

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(B) The wave number is defined as the reciprocal of the wavelength $(\lambda)$.Wave number = $\frac{1}{\lambda}$.Since the wavelength $(\lambda)$ is a measure of length,its dimensional formula is $[M^0 L^1 T^0]$.Therefore,the dimensional formula of the wave number is $\frac{1}{[M^0 L^1 T^0]} = [M^0 L^{-1} T^0]$.Thus,the correct option is $B$.

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