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Question: Double convex lenses are to be manufactured form a glass of refractive index 1.55, With both faces o...

Double convex lenses are to be manufactured form a glass of refractive index 1.55, With both faces of same radius of curvature. What is the radius of curvature required it the focal length is :

A

11 cm

B

22 cm

C

7 cm

D

6 cm

Answer

22 cm

Explanation

Solution

: Lens maker formula.

1f=(μ1)(1R11R2)\frac { 1 } { \mathrm { f } } = ( \mu - 1 ) \left( \frac { 1 } { \mathrm { R } _ { 1 } } - \frac { 1 } { \mathrm { R } _ { 2 } } \right)

Here, f=20 cm,μ=1.55,R1=R\mathrm { f } = 20 \mathrm {~cm} , \mu = 1.55 , \mathrm { R } _ { 1 } = \mathrm { R } and