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Two identical glass (mu(g)=3//2) equi- c...

Two identical glass `(mu_(g)=3//2)` equi- convex lenses of focal length f each are kept in contact. The space between the two lenses is also filled with water `(mu_(g)=4//3).` The focal length of the combination is

A

`4f//3`

B

`3f//4`

C

`f//3`

D

`f`

Text Solution

Verified by Experts

The correct Answer is:
B


`f_(1)=f_(3) =(R )/(2((3)/(2)-1)) =R=f` (given)
`f_(2)=(R )/(2((4)/(3)-1)) =(-3)/(2)R = -(3)/(2)f`
`(1)/(f_(eq)) =(1)/(f_(1)) +(1)/(f_(2)) +(1)/(f_(3)) =(1)/(f) +(-(2)/(3f)) +(1)/(f)`
`rArr (1)/(f_(eq)) =(4)/(3f) rArr f_(eq) =(3f)/(4)`
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