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Question

The dimensional formula of wave number is


A

M0L0T0

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B

M0L-1T0

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C

M0L0T-1

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D

M-1L-1T0

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Solution

The correct option is B

M0L-1T0


Wave number: It is the reciprocal of wavelength, basically it represents the number of wavelengths fit in a unit length.

Step 1: Formula:

v~=1λ, Where λ is the wavelength of the wave.

The dimensions of λ is M0L1T0

Step 2: Find the dimension of the wave number, v~

⇒ The dimensional formula of v~ is 1M0L1T0

⇒ The dimensional formula of v~ is M0L-1T0

Hence, option B is the correct answer.


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