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In YDSE setup slits are illuminated by a...

In YDSE setup slits are illuminated by a light of wavelength `4000Å` and a light of unknown wavelength. It is observed that fourth dark fringe of known wavelength coincide with second bright fringe of unknown wavelength. Find the unknown wavelength.

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A micture of light, consisting of wavelength 600nm and an unknown wavelength, illuminates Young's double slit and gives rise to two overlapping interference patterns on the scree. The central maximum of both lights coincide. Further, it is obseved that the third bright fringe of known light coincides with the 4th bright fringe of the unknown light. From this data, the wavelength of the unknown light is:

A micture of light, consisting of wavelength 590nm and an unknown wavelength, illuminates Young's double slit and gives rise to two overlapping interference patterns on the scree. The central maximum of both lights coincide. Further, it is obseved that the third bright fringe of known light coincides with the 4th bright fringe of the unknown light. From this data, the wavelength of the unknown light is: