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Question

A concave mirror having a radius of curvature 40 cm is placed in front of an illuminated point source at a distance 30 cm from it. Find the location of the image.

A
40 cm , behind the mirror
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B
60 cm, on the side of the object
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C
40 cm, on the side of the object
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D
60 cm, behind the mirror.
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Solution

The correct option is B 60 cm, on the side of the object
Let's look at the schematic first.

We have,
f=20cm.(recall,f=R2)u=30cm.Using mirror formula1u+1v=1fOr,1v=1f1uSubstituting the values;1v=120130=120+130We get,1v=160cm1
Hence,
v=−60 cm  or 60 cm ,on the side of the object
(A negative value of v means that the  image is on the opposite side of the incident ray).

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