A spherical mirror is obtained as shown in the figure from a hollow… | JEE Main 2020 (2 Sep, Shift 1)

Q38JEE Main 2020 · 2 SEP · SHIFT 1Medium

Reflection & Mirrors

A spherical mirror is obtained as shown in the figure from a hollow glass sphere. If an object is positioned in front of the mirror, what will be the nature and magnification of the image of the object?

(Figure drawn as schematic and not to scale)

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Answer: (a)

The hatching is on the outside, so the inner surface reflects: a concave mirror whose radius is the sphere's radius.
From the figure $R = 10\text{ cm}$ , and the object is 10 cm from the pole, i.e. at the centre of curvature C.
An object at C gives an image at C: $v = u$ , $m = -1$ .
So the answer is (a) inverted, real and unmagnified.

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