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Question

Question: A convex lens of focal length f produces a virtual image n times the size of the object. Then the di...

A convex lens of focal length f produces a virtual image n times the size of the object. Then the distance of the object from the lens is –

A

(n –1) f

B

(n + 1) f

C

f

D

Answer

f

Explanation

Solution

m =

so u = – u f = f m = + n

n = ff+u\frac { f } { f + u } Ž f + u = fn\frac { \mathrm { f } } { \mathrm { n } }

u = – f =

u = – f (11n)\left( 1 - \frac { 1 } { \mathrm { n } } \right) Ž u = – f (n1n)\left( \frac { \mathrm { n } - 1 } { \mathrm { n } } \right)

so |u| = (n1n)\left( \frac { \mathrm { n } - 1 } { \mathrm { n } } \right) f