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In Young’s double slit experiment, what should be the phase difference between the two overlapping waves to obtain 5th dark band/fringe on the screen?

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प्रश्न

In Young’s double slit experiment, what should be the phase difference between the two overlapping waves to obtain 5th dark band/fringe on the screen?

संख्यात्मक
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उत्तर

For dark band path difference

P = (2m - 1)`lambda/2`

Here m = 5

P = `(2 xx 5 - 1)lambda/2 = (9lambda)/2`

∴ Phase difference = `(2pi)/lambda xx "p"`

`= (cancel(2)pi)/cancel(lambda) xx (9cancel(lambda))/cancel(2)`

= 9 π

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2021-2022 (March) Set 1

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