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

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1.33

1.42

1.53

1.60

answer is D.

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Detailed Solution

We use the lens formula for a combination of lenses, $\frac{1}{f_{}} = \frac{2}{f_{1}} + \frac{1}{f_{2}}$
Where, $\frac{1}{f_{1}} = (μ_{} - 1) (\frac{1}{R}) \frac{1}{f_{2}} = (μ_{L} - 1) (\frac{- 2}{R})$
Substituting the values of f= -60, R=12 and $μ$ =1.5
We get $μ_{L} = 1.6$

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