Three immiscible transparent liquids with refractive indices 3 / 2,4 / 3 and 6 / 5 are arranged one above the other in a container. The depths of the liquids are 3 ~cm , 4 ~cm and 6 cm respectively. The apparent depth of the vessel is

Step-by-step solution

Apparent depth of liquid layers For a liquid layer of refractive index n and thickness d , the apparent depth is given by d_ app = d n . Given three distinct layers: the apparent depths are 3 cm 3/2 = 2 cm ; 4 cm 4/3 = 3 cm ; 6 cm 6/5 = 5 cm . The total apparent depth of the vessel is the sum of the contributions from each layer: 2 + 3 + 5 = 10 cm. 10 cm