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Dimensions and Dimensional Analysis

Question

The dimensional formula of wave number is

A

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

B

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

C

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

D

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

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Solution

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Correct option is B. $$M^0L^{-1}T^{0}$$
Wave number is given as =$$\dfrac{1}{\lambda} $$

$$\therefore$$ dimension is $$[M^0L^{-1}T^0]$$

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