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Question

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 wave change of π
Statement-2: The centre of the interference pattern is dark

A
Statement-1 is true, Statement-2 is false.
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B
Statement-1 is true, Statement-2 is true, Statement-2 is the correct explanation of Statement-1
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C
Statement-1 is true, Statement-2 is true, Statement-2 is not the correct explanation of Statement-1
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D
Statement-1 is false, Statement-2 is true
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Solution

The correct option is C Statement-1 is true, Statement-2 is true, Statement-2 is not the correct explanation of Statement-1
As the center of the pattern is dark, we know that the phase difference is (2n+1)π. Furthermore, we also know that for the center of the interface pattern, there is no path difference. So the difference can only be due to reflection which is π. Therefore, both the assertion and the reason are correct and the reason is explanatory,

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