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A glass slab of thickness 8 cm contains the same number of waves as 10 cm long path of water when both are traversed by the same monochromatic light. If the refractive index of water is 4/3, the refractive index of glass is

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$\frac{5}{3}$

$\frac{5}{4}$

$\frac{16}{15}$

$\frac{3}{2}$

answer is A.

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Detailed Solution

$8 = n_{1} \frac{v_{1}}{f}, 10 = n_{2} \frac{v_{2}}{f} and n_{1} = n_{2}$

$\Rightarrow \frac{v_{1}}{v_{2}} = \frac{8}{10} \Rightarrow \frac{μ_{2}}{μ_{1}} = \frac{8}{10}$

$μ_{2} = \frac{4}{3} \Rightarrow μ_{1} = \frac{4}{3} \cdot \frac{10}{8} = \frac{5}{3}$

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