a parallel beam of monochromatic light is allowed to be incident normally on a plane transmission grating having 5000 lines per cm and second order spectral line is found to be diffracted through 30 degree . calculate the wave length of light ?
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Given a parallel beam of monochromatic light is allowed to be incident normally on a plane transmission grating having 5000 lines per cm and second order spectral line is found to be diffracted through 30 degree . calculate the wave length of light ?
- Given grating transmission d = 1/5000 cm
- Line diffracted = 30 degree
- So sin 30 = ½
- So m = 2
- So λ is wavelength of light
- So d is the grating element
- Theta is angle of diffraction of n th order.
- So n is the order of spectrum
- So wavelength of light λ = d sin theta / n
- = 1/5000 x ½ / 2
- = 1/5000 x ½ x ½
- = 5 x 10^-5 cm
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