Calculate the angle of the second-order maximum for monochromatic light of wavel

Question

Calculate the angle of the second-order maximum for monochromatic light of wavelength 550 nm if it illuminates. a- a double slit with a slit separation of 2.0 x 10^-6 m b- a diffraction grating with 10,500 slits in 1.0 m Calculate the angle of the second-order maximum for monochromatic light of wavelength 550 nm if it illuminates. a- a double slit with a slit separation of 2.0 x 10^-6 m b- a diffraction grating with 10,500 slits in 1.0 m a- a double slit with a slit separation of 2.0 x 10^-6 m b- a diffraction grating with 10,500 slits in 1.0 m

Explanation / Answer

conditon for diffraction maximum is

d sin theta = m lamda

for m = 2

(2 * 10^-6) sin thet_2 = 2 ( 550 * 10^-9)

theta_2 = sin^-1 ( 2 ( 550 * 10^-9)/2 * 10^-6

=33.36 degree

(b)

d = 1/N = 1/10500 = 9.52 * 10^-5

theta_2 = sin^-1 ( 2 ( 550 * 10^-9)/9.52 * 10^-5)

=0.66 degree

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