Given that, velocity of light in quartz `=1.5xx10^(8)m//s` and velocity of light in glycerine `=(9//40xx10^(8)m//s` . Now a slab made of quartz is placed in glycerine as shown. The shift of the object produced by slab is

Options

A. `6 cm`
B. `3.55 cm`
C. `9 cm`
D. `2 cm`

Answer

A

Explanation

`n_(quartz)=2,n_("glycerine")=(4)/(3)implies(n_(quartz))/(n_("glycerine"))=(2)/(4//3)=(3)/(2)=mu_(rel)`

`"shift"=t(1-(1)/(mu_(rel)))=18(1-(1)/(3//2))=6 cm`