Physics 9702 · AS & A Level · The diffraction grating

The diffraction grating — practice question

A beam of red light with wavelength $640\,\text{nm}$ is directed normally onto a diffraction grating whose line spacing is $1.7 \times 10^{-6}\,\text{m}$, as illustrated in Fig. 5.1. The light’s second-order diffraction maximum is observed at an angle $\theta$ to the incident-light direction.
(a)[3]

Show that angle $\theta$ comes out as $49^{\circ}$.

(b)[2]

Determine another wavelength of visible light that would also give a diffraction maximum at an angle of $49^{\circ}$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applying $n\lambda=d\sin\theta$

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