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Problem 47.13 (RHK)

A grating has 315 rulings/mm. We have to find the wavelengths in the visible spectrum which can be seen in the fifth-order diffraction.

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As there are 315 rulings/mm, the grating distance d is

The range of visible spectrum is . The grating equation is

The maximum wavelength that can be seen in the fifth order is determined by substituting and in the grating equation. We note that

Therefore, we conclude that wavelengths in the range can be seen in the fifth-order diffraction using the given grating.