Physics

Problem

A double-slit arrangement produces a central maximum whose angular width (between the first minima on either side) is

\theta_2

. The same slit spacing

d

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

\theta_{10}

of the principal maximum for the 10-slit grating in terms of

\theta_2

? a)

\theta_{10}=\dfrac{1}{\sqrt{10}}\,\theta_2

\theta_{10}=2\,\theta_2

\theta_{10}=\dfrac{1}{5}\,\theta_2

\theta_{10}=\dfrac{1}{10}\,\theta_2

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