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Image Formation by Spherical Lenses

Consider thre...

Question

Consider three converging lenses $L_{1}$ , $L_{2}$ and $L_{3}$ having identical geometrical construction. The refractive index of $L_{1}$ and $L_{2}$ are $μ_{1}$ and $μ_{2}$ respectively. The upper half of the lens $L_{3}$ has a refractive index $μ_{1}$ and the lower half has $μ_{2}$ . A point O is imaged at $O_{1}$ by the lens $L_{1}$ and at $O_{2}$ by the lens $L_{2}$ placed in same position. If $L_{3}$ is placed at same place,

A

There will be an image at

O_{1}

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B

There will be an image at

O_{2}

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C

The only image will form somewhere between

O_{1} O_{2}

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D

The only image will form away from

O_{2}

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Solution

The correct options are
A There will be an image at $O_{1}$
B There will be an image at $O_{2}$
Focal length of the upper part and lower part does not change

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