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Question: A screen S is placed at a distance b = 5 cm from a circular convex mirror as shown in figure. An obj...

A screen S is placed at a distance b = 5 cm from a circular convex mirror as shown in figure. An object KP of height h = 3 cm is arranged at a distance a = 5 cm from the screen. What are the maximum dimensions of the object (with the given arrangement of the object, the mirror and screen) for the mirror to reproduce an image of the entire object diameter of mirror in d = 10 cm.

A

5 cm

B

15 cm

C

25 cm

D

20 cm

Answer

5 cm

Explanation

Solution

= d2b\frac { d } { 2 b }

h = ad2 b\frac { \mathrm { ad } } { 2 \mathrm {~b} } = 5×102×5\frac { 5 \times 10 } { 2 \times 5 } = 5 cm