A mixture of light, consisting of wavelength590 nm and an unknown wavelength, and illuminates Youngs double slit and gives rise to two overlapping interference patterns on the screen. The central maximum of both light coincide. Further, it is observed that the third bright fringe of known light coincides with the 4th bright hinge of the, unknown light. From this data, the wavelength of the unknown light is
A mixture of light, consisting of wavelength590 nm and an unknown wavelength, and illuminates Youngs double slit and gives rise to two overlapping interference patterns on the screen. The central maximum of both light coincide. Further, it is observed that the third bright fringe of known light coincides with the 4th bright hinge of the, unknown light. From this data, the wavelength of the unknown light is
The correct option is A 442.5 nm
known wavelength = λ1= 590 nm
Unknown wavelength = λ2
We are given that the Central Maxima of both lights coincide. This means that there is no initial path difference between the two lights. Now, the third bright fringe of known wavelength light coincides with the fourth bright fringe of the unknown wavelength light
3λ1 = 4 λ2:
3×590=4λ2
λ2 =3×590/4=442.5
known wavelength = λ1= 590 nm
Unknown wavelength = λ2
We are given that the Central Maxima of both lights coincide. This means that there is no initial path difference between the two lights. Now, the third bright fringe of known wavelength light coincides with the fourth bright fringe of the unknown wavelength light
3λ1 = 4 λ2:
3×590=4λ2
λ2 =3×590/4=442.5
