The focal length of a lens are in the ratio 8: 3 when it is immersed in two different liquids of refractive indices 1.6 and 1.2 respectively .The refractive index of the material of the lens is ___

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The focal length of a lens are in the ratio 8: 3 when it is immersed in two different liquids of refractive indices 1.6 and 1.2 respectively .The refractive index of the material of the lens is ____

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answer is 2.

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Detailed Solution

$\frac{1}{f} = (μ_{r} - 1) (\frac{1}{R_{1}} - \frac{1}{R_{2}})$

$\frac{1}{f_{1}} = (\frac{μ}{1.6} - 1) (\frac{1}{R_{1}} - \frac{1}{R_{2}})$

$\frac{1}{f_{2}} = (\frac{μ}{1.2} - 1) (\frac{1}{R_{1}} - \frac{1}{R_{2}})$

$\frac{f_{1}}{f_{2}} = \frac{8}{3}$

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