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Question: The sun's diameter is \(1.4 \times 10 ^ { 9 } \mathrm {~m}\) and its distance from the earth is \(10...

The sun's diameter is 1.4×109 m1.4 \times 10 ^ { 9 } \mathrm {~m} and its distance from the earth is 1011 m10 ^ { 11 } \mathrm {~m}. The diameter of its image, formed by a convex lens of focal length 2m will be

A

0.7 cm

B

1.4 cm

C

2.8 cm

D

Zero (i.e. point image)

Answer

2.8 cm

Explanation

Solution

From figure

d=2×1.4×1091011=2.8 cmd = \frac { 2 \times 1.4 \times 10 ^ { 9 } } { 10 ^ { 11 } } = 2.8 \mathrm {~cm}