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

Question

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Answer 1

Since, due to lens $L_{1}$ , image is formed at $O_{1}$ , hence due to upper part of $L_{3}$ , image will be formed at $O_{1}$ .

And, due to lens $L_{2}$ , image is formed at $O_{2}$ , hence due to lower part of $L_{3}$ , image will be formed at $O_{2}$ .

Hence, image will be formed at both $O_{1}$ and $O_{2}$ .

Answer-(D).

Answer 2

Since, due to lens

L_{1}

, image is formed at

O_{1}

, hence due to upper part of

L_{3}

, image will be formed at

O_{1}

.

And, due to lens

L_{2}

, image is formed at

O_{2}

, hence due to lower part of

L_{3}

, image will be formed at

O_{2}

.

Hence, image will be formed at both

O_{1}

and

O_{2}

.

Answer-(D).