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Question

Question: A point object is placed at distance of 20 cm from a thin plano convex lens of focal length 15 cm. T...

A point object is placed at distance of 20 cm from a thin plano convex lens of focal length 15 cm. The plane surface of lens is now silvered, the image created by the system is at –

A

60 cm to the left of the system

B

60 cm to the right of the system

C

12 cm totheleft of thesystem

D

12 cm totheright of thesystem

Answer

12 cm totheleft of thesystem

Explanation

Solution

1f=2 F+1 FM=215+1f=152\frac { 1 } { \mathrm { f } } = \frac { 2 } { \mathrm {~F} _ { \ell } } + \frac { 1 } { \mathrm {~F} _ { \mathrm { M } } } = \frac { 2 } { 15 } + \frac { 1 } { \infty } \Rightarrow \mathrm { f } = \frac { 15 } { 2 },

as concave mirror

1v=1f1u=115/2120=215+120\frac { 1 } { v } = \frac { 1 } { f } - \frac { 1 } { u } = \frac { 1 } { - 15 / 2 } - \frac { 1 } { - 20 } = - \frac { 2 } { 15 } + \frac { 1 } { 20 } Ž v=12 cm\mathrm { v } = 12 \mathrm {~cm} left side