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Question: If a small object of length l is at 20cm in front of convex mirror of focal length 20cm. If the obje...

If a small object of length l is at 20cm in front of convex mirror of focal length 20cm. If the object is placed along the principal axis of mirror then length of image formed is –

A

l

B

l / 2

C

l / 4

D

None of these

Answer

l / 4

Explanation

Solution

u = –20 cm, f = +20 cm ; m =

m = +20+20(20)\frac { + 20 } { + 20 - ( - 20 ) } = 12\frac { 1 } { 2 }

M = –m2 = 14- \frac { 1 } { 4 } =  length of image  length of object \frac { \text { length of image } } { \text { length of object } }

\ length of image = 14- \frac { 1 } { 4 }(length of object) = 14- \frac { 1 } { 4 } \ell