A beam of parallel light is incident normally on a diffraction grating having 550 lines per mm. A
telescope is used to observe the second order in the spectrum. Calculate the angular separation in radians of two spectra lines of wavelengths 559nm and 563nm.
Here,
Now,
sinα1= mλ1/d
sinα2= mλ2/d
Substracting the two gives:
sinα1- sinα2= m(λ1-λ2)/d
Since the angles are small, we approximate sinα≈α to get the separation:
Angular separation
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