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Question

In YDSE, when dichromatic source of light is used we get interference pattern which is obtained by combination of interference pattern due to each wavelength. A black line is obtained on screen where a minima due to each wavelength coincides. Similarly, when polychromatic source is taken say white light source, resulting interference pattern is superimposition of interference pattern from each wavelength as a result at which we get white central bright fringe surrounded by few coloured fringes on both sides of central bright fringe and then uniform illumination of screen. In a typical YDSE set up, distance between slits(D) is 1mm and screen is placed at a distance (D) of 1 m from slits. The source of light used is dichromatic emitting waves of wavelength λ1 = 500 nm and λ2= 700 nm.

Fringe width due to λ1 is

A
5×104m
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B

4×105m
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C
4×106m
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D
None
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Solution

The correct option is A 5×104m
ω=Dλ1d=1×500×1091×103=5×104m

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