Physics 9702 · AS & A Level · The diffraction grating

The diffraction grating — practice question

When monochromatic light falls normally on a diffraction grating, the emerging waves have been diffracted and are coherent.
(a(i))[1]

Explain what the term diffracted waves means.

(a(ii))[1]

Explain what the term coherent waves means.

(b(i))[2]

Light that contains only two wavelengths $\lambda_1$ and $\lambda_2$ is incident normally on a diffraction grating. The third order diffraction maximum for light of wavelength $\lambda_1$ and the fourth order diffraction maximum for light of wavelength $\lambda_2$ are at the same angle $\theta$ to the direction of the incident light. Show that the ratio $\dfrac{\lambda_2}{\lambda_1}$ is $0.75$. Explain your working.

(b(ii))[1]

The wavelengths differ by $170\,\text{nm}$. Determine wavelength $\lambda_1$.

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