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A hollow double concave lens is made of...

A hollow double concave lens is made of very thin transparent material. It can be filled with air or either of two liquids `L_(1)` or `L_(2)` having refractive indices `n_(1)` and `n_(2)`, respectively `(n_(2) gt n_(1) gt 1)`. The lens will diverge parallel beam of light if it is filles with

A

Air and placed in air

B

Air and immersed in `L_(1)`

C

` L_(1)` and immersed in `L_(2)`

D

`L_(2)` and immersed in `L_(1)`

Text Solution

Verified by Experts

The correct Answer is:
D
` (1)/(f) = ((n_(2))/(n_(1))-1) ((1)/(R_(1)) - (1)/(R_(2)))`
Since,` ((1)/(R_(1)) -(1)/(R_(2)))` is - ve for
Double concave lens
If ` n_(2) gt n_(1)` then f will always be - ve
i.e concave lens maintain its nature otherwise the nature of the lens will be reversed
Hence, the lens should be filled with `L_(2)` and immersed in `L_(1)`
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