1.

A diffraction grating with 10^6 lines /m is used to determine the wavelengthof a monochromatic source. the angle of first order diffraction is 30 degree . The wavelength of the source is ? options: a) 1000 nm b) 500 nm c) 400 nm d) 600 nm

Answer»

Answer

Diffraction GRATING: d sinθn = nλ         where N is an integer

λ=5.30×10−7m

When n = 1, θ1 = 15.4°

Slit SEPARATION, d = sinθ1​λ​

                          = sin15.4o5.30×10−7​

                          = 1.996×10−6m

When n =2

slit separation d = sinθ2​λ​

              ⟹sinθ2​=dλ​

              ⟹θo​=sin−1(1.996×10−65.30×10−7​)

              ⟹θ2​=16.7o



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