The sun's diameter is $1.4 \times 10^{9} m$ and its distance from the earth is $10^{11} m .$ The diameter of its image, formed by a convex lens of focal length 2m will be

0.7 cm

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1.4 cm

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2.8 cm

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Zero (i.e. point image)

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Solution

The correct option is C 2.8 cm
From figure $\frac{D}{d} = \frac{10^{11}}{2} \Rightarrow d = \frac{2 \times 1.4 \times 10^{9}}{10^{11}} = 2.8 c m .$

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

The correct option is C 2.8 cmFrom figure Dd=10112⇒d=2×1.4×1091011=2.8cm.

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