Practice portal › Ray Optics and Optical Instruments › Refraction and Total Internal Reflection

A vessel of depth 2h is half filled with a liquid of refractive index 2√2 and the upper half with another liquid of refractive index √2. The liquids are immiscible. The apparent depth of the inner surface of the bottom of vessel will be

Asked in JEE Main 9th Jan 1st Shift 2020 · Snell's law, slabs and apparent depth

• (1) h/(√2)
• (2) 3/4h√2
• (3) h/(3√2)
• (4) h/(2(√2+1))

Step-by-step solution

Why the other options are wrong

• (1) Counts only the upper layer.
• (3) Adds the two indices and divides a single depth h by 3√2.
• (4) Combines the indices like resistors in parallel.

Reading this solution needs no sign-in. You only sign in to practise against the clock and keep your progress.