Question

Consider three converging lenses $L_1,L_{2}and{L}_3$ having identical geometrical construction. The index of refraction of $L_{1}and{L}_2$ are ${\mu }_{1}and{\mu }_2$ respectively. The upper half of the lens $L_3$ has a refractive index ${\mu }_1$ and lower half has ${\mu }_2$. 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,

• A. there will be an image at $O_1$
• B. there will be an image at $O_2$
• C. The only image will form somewhere between $O_1$ and $O_2$
• D. The only image will form away from $O_2$

Answer 1

Answer: (A), (B)

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.