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In Young's double slit experiment the sl...

In Young's double slit experiment the slits are separated by `0.28mm` and the screen is placed at a distance of `1.4m` away from the slits. The distance between the central bright fringe and the fifth dark fringe is measured to be `1.35cm`. Calculate the wavelength of the light used. Also find the fridge width if the screen is moved towards the slits by `0.4m`, for the same experimental set up.

Text Solution

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Fringe width `beta=(lambdaD)/d`
Given
The distance of the fifth dark fringe from the central bright fringe =1.35 cm
`beta=(m-1/2)(Dlambda)/d`
Wavelength of light used `lambda=600 xx 10^(-9)`m ,m=5
Taking distance between the slits and the screen as 1m `rArr beta=(600xx10^(-9)xx9xx1)/(2xx1.35xx10^(-2)xx0.28xx10^(-3))`
Calculation of fringe width = `7.142xx10^(-3)` m
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