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Question: The magnification of an object is +2 when placed at 20 cm from a convex lens. To obtain magnificatio...

The magnification of an object is +2 when placed at 20 cm from a convex lens. To obtain magnification of –2, the object should be moved a distance equal to –

A

10 cm

B

20 cm

C

30 cm

D

40 cm

Answer

20 cm

Explanation

Solution

When m = +2

Ž u = – x; v = – 2x; f = +20

1v\frac { 1 } { \mathrm { v } }1u\frac { 1 } { \mathrm { u } } = 1f\frac { 1 } { \mathrm { f } }

Ž – 12x\frac { 1 } { 2 \mathrm { x } } + = 120\frac { 1 } { 20 }

x = 10 cm

when m = – 2

u = – y; v = + 2y; f = +20

+ 1y\frac { 1 } { y } = 120\frac { 1 } { 20 }

Ž y = 30 cm

Ž y – x = 20 cm