Monochromatic light is incident on a grating that is 40 mmwide ruled 24,000 line

Question

Monochromatic light is incident on a grating that is 40 mmwide ruled 24,000 lines. The line is imaged at 34.0 degreesin the second-order spectrum. a. Find the wave length of the incident light b. Find the angle of diffraction for the first-orderfringe. Monochromatic light is incident on a grating that is 40 mmwide ruled 24,000 lines. The line is imaged at 34.0 degreesin the second-order spectrum. a. Find the wave length of the incident light b. Find the angle of diffraction for the first-orderfringe.

Explanation / Answer

Noof lines in 40 mm(= 4 cm ) is = 24000

No.of lines in 1 cm = 24000 / 4 = 6000

Grating element d = 1/ N = 1.666* 10 ^ -4 cm

                               = 1.666* 10 ^ -6 m

Angle  = 34 degrees

Condition for 2 nd order spectrum d sin = 2

Fromthis wavelength = d sin / 2

                                   = 466 * 10 ^-9 m = 466 nm

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