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Question

If AB = 10 cm & DB = 40 cm (diameter). What is the radius of curvature & focal length of the spherical glass?


A

40 cm, 10 cm

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B

20 cm, 20 cm

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C

40 cm, 5 cm

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D

20 cm, 10 cm

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Solution

The correct option is D

20 cm, 10 cm


Given:
Diameter of the sphere = DB = 40 cm.
Radius of curvature (DO or OB) is half of diameter of curvature (DB) = 20 cm.
Focus is at point A since parallel rays after reflection pass through point A.
Focal length (f) is half of the radius of curvature (R)
f=R2
=202=10 cm


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