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Q.

In Young's double slit experiment, the slits are 0.5 mm apart and interference pattern is observed on a screen placed at a distance of 1.0 m from the plane containing the slits. If wavelength of the incident light is 6000 Å, then the separation between the third bright fringe and the central maxima is

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a

4.0 mm

b

3.5 mm

c

3.0 mm

d

2.5 mm

answer is B.

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Detailed Solution

Separation nth  bright fringe and central  maxima is xn=nλDd  So, x3=3×6000×10−10×10.5×10−3=3.5mm
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In Young's double slit experiment, the slits are 0.5 mm apart and interference pattern is observed on a screen placed at a distance of 1.0 m from the plane containing the slits. If wavelength of the incident light is 6000 Å, then the separation between the third bright fringe and the central maxima is