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A bichromatic light having wavelength ga...

A bichromatic light having wavelength `gamma_1` and `gamma_2` falls normally on a single slit and produces a diffraction pattern. It is found that the first diffraction minimum for `gamma_1` is at `30^(@)` and second diffraction minimum for `gamma_2` is at `45^(@)` from the central maximum. If `gamma_1` is `5000xx10^(-8)` cm, then the value of `gamma_2` is close to:

A

`3356xx10^(-8)cm`

B

`7071xx10^(-8)cm`

C

`2887xx10^(-8)`cm

D

`3660xx10^(-8)`cm

Text Solution

Verified by Experts

The correct Answer is:
A
`dsin30^(0)=lamda_(1)," "dsin45^(0)=2lamda_(2)`
`implies (lamda_(1))/(2lamda_(2))=(1)/(sqrt(2)) implies lamda_(2)=(lamda_(1))/(sqrt(2))=3536xx10^(-8)m`
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