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A thin glass (refractive index 1.5) lens...

A thin glass (refractive index 1.5) lens has optical power of `-5D` in air. Its optical power in a liquid medium with refractive index 1.6 will be

A

`25D`

B

`-25D`

C

`1D`

D

`-1D`

Text Solution

Verified by Experts

The correct Answer is:
3
`(1)/(f_(a))=(underset(a)""mu_(g)-1)((1)/(R_(1))-(1)/(R_(2)))`
`=(1.5-1)((1)/(R_(1))-(1)/(R_(2)))`
and `(1)/(f_(a))=(underset(l)""mu_(g)-1)((1)/(R_(1))-(1)/(R_(2)))`
`(1)/(f_(m))=((underset(a)""mu_(g))/(underset(a)""mu_(l))-1)((1)/(R_(1))-(1)/(R_(2)))`
`(1)/(f_(m))=((1.5)/(1.6)-1)((1)/(R_(1))-(1)/(R_(2)))`
`(f_(m))/(f_(a))=((1.5-1))/(((1.5)/(1.6)-1))=-8`
or `f_(m)=-8xxf_(a)=-8xx(-1)/(5)=1.6m`
`:. P_(m)=(mu)/(f_(m))=(1.6)/(1.6) =1D`
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