A double-slit arrangement produces a central maximum whose angular width (between the…

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

A double-slit arrangement produces a central maximum whose angular width (between the first minima on either side) is θ2\theta_2. The same slit spacing dd is then used to construct a grating that contains 10 identical slits illuminated by the same wavelength. Assuming small angles, what is the angular width θ10\theta_{10} of the principal maximum for the 10-slit grating in terms of θ2\theta_2? (a) θ10=110 θ2\theta_{10}=\dfrac{1}{\sqrt{10}}\,\theta_2 (b) θ10=2 θ2\theta_{10}=2\,\theta_2 (c) θ10=15 θ2\theta_{10}=\dfrac{1}{5}\,\theta_2 (d) θ10=110 θ2\theta_{10}=\dfrac{1}{10}\,\theta_2

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