A parallel bean of monochromatic light is allowed to incident normally on a plane transmission grating having 5000 lines per centimeter. A second order spectral line is found to be diffracted at an angle 30^(@). Find the wavelength of the light. Data : N=5000 lines/cm =5000xx10^(2) lines/m, m=2, theta=30^(@), lambda=?

A parallel bean of monochromatic light is allowed to incident normally

1.	A parallel bean of monochromatic light is allowed to incident normally on a plane transmission grating having 5000 lines per centimeter. A second order spectral line is found to be diffracted at an angle 30^(@). Find the wavelength of the light. Data : N=5000 lines/cm =5000xx10^(2) lines/m, m=2, theta=30^(@), lambda=?
Answer» SOLUTION :`sintheta=Nmlambda` `lambda=(sintheta)/(NM)` `lambda=(SIN30^(@))/(5xx10^(5)xx2)=(0.5)/(5xx10^(5)xx2)` `lambda=5xx10^(-7)m=5000Å`.

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