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

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

Grade:12

1 Answers

Vikas TU
14149 Points
6 years ago
Dear Student,
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
 
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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