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Question: Two identical glass \(\mu _ { \mathrm { g } } = \frac { 3 } { 2 }\) equiconvex lenses of focal leng...

Two identical glass μg=32\mu _ { \mathrm { g } } = \frac { 3 } { 2 } equiconvex lenses of focal length F are kept in contact. The space between the two lenes is filled with water (μw=43)\left( \mu _ { w } = \frac { 4 } { 3 } \right) .The focal length of the combination is :

A

f

B

f2\frac { \mathrm { f } } { 2 }

C

4f3\frac { 4 \mathrm { f } } { 3 }

D

3f4\frac { 3 \mathrm { f } } { 4 }

Answer

3f4\frac { 3 \mathrm { f } } { 4 }

Explanation

Solution

: Let R be the radius of curvature of each surface

R=f\therefore \mathrm { R } = \mathrm { f }

For the water lens,

Using,