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Question

A thin rectangular silver sheet acts as a plane mirror. A person who can see his face in it, holds it vertically, such that the length of the sheet is perpendicular to the ground. How does his image in the silver sheet change if the sheet is bent in a semi-circular way,

(a) along the length such that it bulges towards the face.

(b) along the length such that it bulges away from the face.

(c) along the breadth such that it bulges towards the face.

(d) along the breadth such that it bulges away from the face.


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Solution

How does his image in the silver sheet change if the sheet is bent in a semi-circular way,

(a) The sheet acts as a concave mirror when the sheet is bent in a semi-circular way along the length such that it bulges towards the face.

The nature of the image will be inverted.

(b) The sheet acts as a convex mirror when the sheet is bent in a semi-circular way along the length such that it bulges away from the face.

The nature of the image will be erect.

(c) The sheet acts as a concave mirror when the sheet is bent in a semi-circular way along with the breadth such that it bulges towards the face.

The nature of the image will be inverted.

(d) The sheet acts as a convex mirror when the sheet is bent in a semi-circular way along with the breadth such that it bulges away from the face.

The nature of the image will be erect.


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