Wave OpticsHard

Question

In a YDSE with two identical slits, when the upper slit  is covered with a thin, perfectly transparent sheet of mica, the intensity at the centre of screen reduces to 75% of the initial value. Second minima is observed to be above this point and third maxima below it. Which of the following can not be a possible value of phase difference caused by the mica sheet

Options

A.
B.
C.
D.

Solution

I′ = (4I) = 3I.
So 4I = I + I + 2I cos ⇒ cos = =
but value should lie between 3π & 6π
So it cannot be
For second minima = 3π
For third maxima = 6π

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