Practice portal › Wave Optics › Interference and Young's Double Slit Experiment

Direction: The question has a paragraph followed by two statements, Statement-1 and Statement-2. Of the given four alternatives after the statements, choose the one that describes the statements.
A thin air film is formed by putting the convex surface of a plane-convex lens over a plane glass plate. With monochromatic light, this film gives an interference pattern due to light reflected from the top (convex) surface and the bottom (glass plate) surface of the film.
Statement-1: When light reflects from the air-glass plate interface, the reflected wave suffers a phase change of π.
Statement-2: The centre of the interference pattern is dark.

Asked in JEE Main 2011 · Slabs, media and modified set-ups

Answer: (3) Statement-1 is true, Statement-2 is true, Statement-2 is not the correct explanation of Statement-1.

Step-by-step solution

Reflection at the air to glass boundary is from a denser medium, so it has a phase change of π: Statement-1 is true.

At the centre the film thickness is nearly zero, so the only phase difference is this π: the centre is dark. Statement-2 is true.

The dark centre follows from Statement-1; it does not explain it.

Both true, Statement-2 is not the explanation.

Why the other options are wrong

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