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Standard X

Physics

Image Formation by Spherical Lenses

Consider thre...

Question

Consider three converging lenses $L_{1}, L_{2} a n d L_{3}$ having identical geometrical construction. The index of refraction of $L_{1} a n d L_{2}$ are $μ_{1} a n d μ_{2}$ respectively. The upper half of the lens $L_{3}$ has a refractive index $μ_{1}$ and lower half has $μ_{2}$ . A point object O is imaged at $O_{1}$ by the lens $L_{1}$ and $O_{2}$ by the lens $L_{2}$ placed in 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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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 $O_{2}$
The two halves of the lens $L_{3}$ will act as separate lenses and each of them will form its own image.Thus there will be two images at $O_{1} & O_{2}$ respectively.

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The correct options are A there will be an image at O1 B there will be an image at O2The two halves of the lens L3 will act as separate lenses and each of them will form its own image.Thus there will be two images at O1&O2 respectively.

The correct options are
A there will be an image at $O_{1}$
B there will be an image at $O_{2}$
The two halves of the lens $L_{3}$ will act as separate lenses and each of them will form its own image.Thus there will be two images at $O_{1} & O_{2}$ respectively.