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A convex mirror of radius of curvature 18 cm forms image of the sun. The diameter of the sun subtends an angle of 1° on the earth. Then the diameter of the image is ??

A convex mirror of radius of curvature 18 cm forms image of the sun. The diameter of the sun subtends an angle of 1° on the earth. Then the diameter of the image is ??

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1 Answers

Arun
25750 Points
5 years ago
Dear Manish
 
As sun is more far from the earth,
Then we take u = infinite
Focal length = 18/2 cm = 9 cm
From the mirror formula
1/v+1/u = 1/f
1/v +1/∞ = 1/9
1/v = 1/9
v = 9 cm
And we also know that
Angle = 1o = π/180
 
Ѳ = d/f
d = Ѳf
d = π/180 * 9
d = π/20 cm
 
 
Regards
Arun (askIITians forum expert)

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