A concave mirror is placed on a horizontal table, with its axis d… - Vidyadip

MCQ

$A$ concave mirror is placed on a horizontal table, with its axis directed vertically upwards. Let $O$ be the pole of the mirror and $C$ its centre of curvature. $A$ point object is placed at $C$. It has a real image, also located at $C$ (a condition called auto-collimation). If the mirror is now filled with water, the image will be:

A
real, and will remain at $C$
B
real, and located at a point between $C$ and $\infty$
C
virtual, and located at a point between $C$ and $O.$
✓
real, and located at a point between $C$ and $O.$

✓

Answer

Correct option: D.

real, and located at a point between $C$ and $O.$

d
As a result of water the apparent height of source will be beyond $\mathrm{C}$, at $\mathrm{C}^{\prime} \cdot \mathrm{OC}^{\prime}=$ $R\mu$. So its image I' will not be formed at $C$ but it will be formed between $C$ and focus $F$ of the mirror. But again in the return path of rays they will be again refracted at water to air boundary and final image I will be further shifted downwards towards $O.$

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