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In a vessel, as shown in Figure., point ...

In a vessel, as shown in Figure., point P is just visible when no liquid is filled in vessel through a telescope in the air. When liquid is filled in the vessel completely, point Q is visible without movint the vessel or telescope. Find the refractive index of the liquid.

A

`(sqrt(14))/(3)`

B

`(sqrt(85))/(5)`

C

`sqrt(2)`

D

`sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
b.
Form similar triangles APB and CBD, point P will be just visible if `CD=4R`
`musini=1xxsinr`
`musin(angleCDQ)=1xxsin(angleCDB)`
`muxx(R)/(Rsqrt(7))=1xx(2R)/(Rsqrt(20))rArr mu=(2sqrt(17))/(sqrt20)=(sqrt(85))/(5)`
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