A source containing a mixture of hydrogen and deuterium atoms emits red light at two wavelengths whose mean is 656.3 $\mathrm{nm}$ and whose separation is 0.180 $\mathrm{nm} .$ Find the minimum number of lines needed in a diffraction grating that can resolve these lines in the first order.
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Step 1: Use the formula for resolving power, \(R = \frac{\lambda}{\Delta \lambda}\), where \(R\) is the resolving power, \(\lambda\) is the average wavelength, and \(\Delta \lambda\) is the separation of the wavelengths. Show more…
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