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Q.

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

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a

1.4 cm

b

0.7 cm

c

2.8 cm

d

Zero (i.e. point image)

answer is C.

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Detailed Solution

$θ = \frac{AB}{10^{11}} = \frac{A^{'} B^{'}}{2} \Rightarrow A^{'} B^{'} = \frac{2 \times 1 .4 \times 10^{9}}{10^{11}} = 2 .8 cm$

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