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Following figure shows the positions of ...

Following figure shows the positions of the first bright fringes `B_(1)andB_(2)` on either side of the central bright fringe O in Young.s double slit experiment. Find the wavelength of monochromatic light used.

Text Solution

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Given, `D=1m`
`d=1xx10^(-3)m`
`OB_(1)=beta=0.5mm,D=1m,d=1mm=1xx10^(-3)m`
`beta=(Dlambda)/(d)`
`lambda=(betad)/(D)`
`=((0.5xx10^(-3))xx(1xx10^(-3)))/(1m)`
`=5xx10^(-7)m=5000Å`
`=5xx10^(-7)m=5000Å`.
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