Question

You are using a diffraction grating with 2230 lines per centimeter. White light passes through it, and the grating spreads the light out into its spectral components. At what angle does green light of wavelength 508 nm appear in second order

Answer 1

Answer:

The angle of diffraction is 13.09°

Explanation:

Given:

Wavelength of light $\lambda = 508 \times 10^{-9}$ m

Order of diffraction $n = 2$

No. lines per centimeter $N = 2230$

First find the grating element,

  $d = \frac{1}{N}$

  $d = 4.484 \times 10^{-6}$ m

From the formula of diffraction,

  $d \sin \theta = n \lambda$

    $\sin \theta = \frac{2 \lambda}{d}$

    $\sin \theta = \frac{2 \times 508 \times 10^{-9} }{4.484 \times 10^{-6} }$

    $\theta = \sin ^{-1} (0.2265)$

    $\theta =$ 13.09°

Therefore, the angle of diffraction is 13.09°