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In Young's double slit experiment, fring...

In Young's double slit experiment, fringes of certain width are produced on the screen kept at a certain distance from the slits. When the screen is moved away from the slits by 0.1m, fringe width increases by `6xx10^(-5)m`. The separation between the slits is 1 mm. calculate the wavelength of the light used.

Text Solution

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`beta=(lambdaD)/(d)`
`beta=(lambdaD)/(1xx10^(-3))` ……….`(i)`
`beta+(6xx10^(-5))=(lambda(D+0.1))/(1xx10^(-3))`………..`(ii)`
Substracting eq. `(i)` from eq. `(ii)`
`6xx10^(-5)=(0.1lambda)/(1xx10^(-3))`
`lambda=6xx10^(-7)m`
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