The effective focal length of the lens combination shown in figure is -60cm.The radii of curvature of the curved surfaces of the plano-convex lenses are 12 cm each and refractive index of the material of the lens is 1.5. The refractive index of the liquid is

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1.33

1.53

1.42

1.60

answer is D.

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Detailed Solution

$\begin{array}{l} \frac{1}{f} = \frac{1}{f_{1}} + \frac{1}{f_{2}} + \frac{1}{f_{3}} \\ - \frac{1}{60} = \frac{1.5 - 1}{12} + \frac{(μ_{1} - 1) (- 2)}{12} + \frac{(1.5 - 1)}{12} \\ - \frac{1}{5} = 1 - 2 μ_{1} + 2 \\ 2 μ_{1} = 3 + \frac{1}{5} = \frac{16}{5} \\ μ_{1} = \frac{8}{5} = 1.60 \end{array}$

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