A Concave Mirror Forms A Real Image Four Times The Size Of The Object Placed At A Distance Of 10 Cm From It. What Is The Radius Of Curvature Of The Mirror?

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Question

A concave mirror forms a real image four times the size of the object placed at a distance of 10 cm from it. What is the radius of curvature of the mirror?

easy

Solution

Correct option is

16 cm

Since the image is erect, the magnification is negative. Hence

m = – 4.

Also u = – 10 cm

Substituting for u and v in the formula

We have f = –8 cm.

Hence R = 2f = –16 cm.

The negative sign is expected since the mirror is concave.

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