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Lens Maker's Formula

A hollow doub...

Question

A hollow double concave lens is made of very thin transparent material. It can be filled with air or either of two liquid $L_{1}$ or $L_{2}$ having refractive indices $μ_{1}$ and $μ_{2}$ respectively $(μ_{2} > μ_{1} > 1)$ . The lens will diverge a parallel beam of light if it is filled

A

L_{1}

and immersed in

L_{2}

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B

L_{2}

and immersed in water

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C

Water and immersed in

L_{2}

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D

Air and immersed in either water or

L_{1}

or

L_{2}

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Solution

The correct options are
A $L_{1}$ and immersed in $L_{2}$
B Water and immersed in $L_{2}$
D Air and immersed in either water or $L_{1}$ or $L_{2}$
A convex lens is a converging lens by nature but only if it is placed in a medium that has a refractive index lower than that of the material of the lens.
If placed in a medium of higher refractive index, all the lenses have a tendency to invert their behaviour.
Thus, all points must point to the immersion of the lens in a medium of a refractive index higher than that of the metal

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