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In a diffraction pattern due to a single slit of width a, the first minimum is observed at an angle 30^(@) when light of wavelength 5000 Å is incident on the slit. The first secondary maximum is observed at an angle of ...

Answer»

`sin^(-1)((2)/(3))`
`sin^(-1)((1)/(2))`
`sin^(-1)((3)/(4))`
`sin^(-1)((1)/(4))`

Solution :For first MINIMUM,
`a sin THETA= lambda "" [ n=1]`
`:. a sin 30^(@) = lambda`
`:. a xx(1)/(2)= lambda`
For first MAXIMUM,
`a sin theta_(1)=(2n+)(lambda)/(2)`
`:. a sin theta_(1)=(3lambda)/(2)`
`:. sin theta_(1)=(3lambda)/(2)`
`:. sin theta_(1)=(3)/(4)`
`:. theta_(1)=sin^(-1)((3)/(4))`


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