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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 cm
For 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 = 160120 = 1360 = 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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