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Question

# The sun's diameter is 1.4×109m and its distance from the earth is 1011m. Determine the diameter of its image, formed by a convex lens of focal length 2 m.

A
0.7 cm
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B
1.4 cm
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C
2.8 cm
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D
Zero (i.e. point image)
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Solution

## The correct option is B 1.4 cmIn the given problem,u=−1011 mSince, focal length is very small as compared to the object distance, it is considered that the image is formed at focus.v=2 mMagnification, m=vu=himagehobject∴himage=vhobjectu∴himage=2×1.4×1091011∴himage=2.8 cm∴radius=2.8/2=1.4 cm

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