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Question

# The suns diameter is 1.4×109m and its distance from the earth is 1011m. The diameter of its image, formed by a convex mirror of focal length 2m will

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
10 cm
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Solution

## The correct option is C 2.8 cmDistance from earth (v) = 1011 mDiameter of the sun = 1.4×109 mFocal length of convex mirror (f) = 2 mFrom the given data, it is clear that the v>>f. So it should be considered that the object is placed at infinity.For a convex mirror, when an object is placed at infinity, image will be formed at focus. i.e. v = f = 2 mWe know the formulam = vu= hihoSubstituting the values in the formula, vu= hiho 21011= hi1.4×109 hi = 2×1.4×1091011 hi = 2.8×10−2 m hi = 2.8 cmThe diameter of the image will be 2.8 cm

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