The lower half of a vessel of depth (2 d ~cm ) is filled with a liquid of refractive index ( ₁ ) and the upper half with a liquid of refractive index ( ₂ ). The apparent depth of the vessel seen perpendicularly is

Step-by-step solution

If immiscible liquids of refractive indices ( ₁ ) and ( ₂ ) are filled in a vessel and their real depths are (d₁ ) and (d₂ ) as shown below Then, apparent depth of the vessel seen perpendicularly is given as (d_ app = d₁ ₁ + d₂ ₂ ) Here, (d₁=d₂=d ) ( d_ app = d ₁ + d ₂ =d ( 1 ₁ + 1 ₂ ) )