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The power of a thin convex lens (""(a) m...

The power of a thin convex lens `(""_(a) mu_(g)=1.5)` is `+5.0 D`. When it is placed in liquid of refractive index `""_(a) mu_(l)` then it behaves as a concavelens of focal length 100 cm. the refractive index of liquid `""_(a) mu_(i)` will be

A

`5//3`

B

`4//3`

C

`sqrt(3)`

D

`5//4`

Text Solution

Verified by Experts

The correct Answer is:
1

By using `f_(1)/f_(a) = (""_(a)mu_(g)-1)/(""_(l)mu_(g)-1)` where `""_(l)mu_(g)= mu_(g)/mu_(l) =1.5/mu_(1)` and `f_(a)=1/P =1/5 20cm implies (-100)/20 =(1.5-1)/(1.5/mu_(1) -1) implies 5//3`
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