1.

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)`

Answer» Correct Answer - 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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