Consider three converging lenses L1 - L2 and L3 having identical geometrical construction- The refractive indices of L1 and L2 are -1 and - 2 respectively- The upper half of the lens L3 has refractive index - 1 and the lower half has - 2 as shown in the figure- A point object O has an image at O1 by the lens L1 and at O2 by the lens L2 placed in the same position- If L3 is placed at the same place-

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Standard X

Physics

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 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:

There will be an image at

O_{1}

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There will be an image at

O_{2}

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The only image will form somewhere between

O_{1}

and

O 2

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(a) and (b) are correct

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Solution

The correct option is D (a) and (b) are correct
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).

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