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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.

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Statement 1 is true but statement 2 is false

Statement 1 is false but statement 2 is true

Statement 1 is false, statement 2 is false

Statement 1 is true, statement 2 is true

answer is B.

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Detailed Solution

As light enters from air to glass it suffers a phase change on $π$ and therefore at centre there will be destructive interference.

Statement 1: is true as light enters from air to glass it suffers a phase change on $π$ $(∴ rarer to denser propagation)$

Statement 2 : is true, the centre of interference pattern is dark, showing that the phase difference between two interfering waves is $π .$

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