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Q.

In Young’s double slit experiment, red light of wavelength $6000 A °$ is used and n^th 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 $5000 A °$ and now ${(n + 1)}^{t h}$ bright fringe is obtained at the point “P” on the screen. The value of ‘n’ is

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a

6

b

3

c

4

d

5

answer is B.

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Detailed Solution

$n_{1} β_{1} = n_{2} β_{2} \Rightarrow n_{1} \frac{D}{α} λ_{1} = n_{2} \frac{D}{α} λ_{2}$

$∴ n \times 6000 = (n + 1) 5000$

$∴ n = 5$

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In Young’s double slit experiment, red light of wavelength 6000A° is used and 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 5000A° and now n+1th bright fringe is obtained at the point “P” on the screen. The value of ‘n’ is