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Question

An object is placed at 60 cm from the pole of a concave mirror whose focal length is 20 cm. Find the distance at which the image is formed.

A
v= 20 cm
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B
v= 30 cm
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C
v= +30 cm
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D
v= +20 cm
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Solution

The correct option is B v= –30 cmFor the concave mirror, let its focal length be f, the object distance be u, and the image distance be v. According to the mirror formula, 1v + 1u = 1f Given, u=−60 cm, f=−20 cm (using the sign conventions) ⇒1v - 160 = −120 ⇒1v = 160−120 = 1−360 = −260 = −130 ⇒v=−30 cm The image distance is negative⟹ The image is formed on the same side of the mirror as the object, and is real (and inverted) in nature.

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