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A glass slab of thickness 4 cm contains the same number of waves as 5 cm of water when both are traversed by the same monochromatic light. If the refractive index of water is 4/3, then that of glass is

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3/2

5/4

5/3

16/15

answer is A.

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Detailed Solution

$\frac{t_{1}}{t_{2}} = \frac{λ_{1}}{λ_{2}} = \frac{λ}{μ_{1}} \times \frac{μ_{2}}{λ} = \frac{μ_{2}}{μ_{1}}$

$\Rightarrow μ_{1} = \frac{μ_{2} t_{2}}{t_{1}} = \frac{4}{3} \times \frac{5}{4} = \frac{5}{3}$

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