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Dimensional Analysis

The wavelengt...

Question

The wavelength of the incident wave is $x π / a$ . Find $x$

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Solution

On comparing the given expression with $y = A c o s (k x + w t)$ , we get

$a = k$ where $k = \frac{2 π}{λ}$

Thus $a = \frac{2 π}{λ}$

$⟹ λ = \frac{2 π}{a}$ which gives $x = 2$

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