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In Young’s double slit experiment, red light of wavelength 6000 $\overset{\circ}{A}$ is used and the nth bright fringe is obtained at a point ‘P’ on the screen. Keeping the same setting, the source of light is replaced by green light of wavelength 5000 $\overset{\circ}{A}$ and now (n+1)^th bright fringe is obtained at the point P on the screen. The value of ‘n’ is $_____$

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answer is 5.

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Detailed Solution

Given data: red light of wavelength $6000 A$ is used and the nth bright fringe is obtained at a point ‘P’ on the screen.

Concept used: wave optics

Detailed solution:

$\frac{n + 1}{n} = \frac{6000}{5000}$

$5 n + 5 = 6 n$

$n = 5$

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