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YDSE Problems I

In interferen...

Question

In interference pattern, by two identical slits, intensity of central maxima is $I$ . What will be intensity at same spot, if one of the slits is closed?

A

I / 4

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B

I

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C

I / 2

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D

2 I

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Solution

The correct option is A $I / 4$
$I_{1} = I_{2} = a^{2}$
$I_{m a x} = {(a + a)}^{2} = {(2 a)}^{2} = 4 a^{2} = I$
When one of the slits is closed, intensity is
$I_{1} = a^{2} = \frac{I}{4}$

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