With light falling normally on a transparent diffraction grating `10mm` wide, it was found that the components of the yellow line of sodium `(589.0` and `589.6nm`) are resolved beginning with the fifth order of the spectrum. Evaluate:
(a) the period of this grating,
(b) what must be the width of the grating with the same period for a double `lambda = 460.0nm` whose components differ by `0.13nm` to be resolved in the third order of the spectrum.

What is a diffraction grating?

The wavelength of line of sodium is 589.6 nm. Express it in Angstrom unit.

Light with wavelength 530nm falls on a transparent diffraction grating with period 1.50 mu m . Find the angle, relative to the grating normal. At which the Fraunhofer maximum of highest order is observed provided the light falls on the grating (a) at right angles, (b) at the angle 60^(@) to the normal.

A transparent diffraction grating of a quartz spectrograph is 25mm wide and has 250 lines per millimetre. The focal length of an objective in whose focal plane a photographic plate is located is equal to 80cm . Light falls on the grating at right angles. The spectrum under investigating includes a doublet with components of wavelength 310.154 and 310.184nm . Determine: (a) the disatnce on the photographic plate between the components of this doublet in the spectra of the first and the second order, (b) whether these components will be resolved in these orders of the spectrum.

Light with wavelength 535nm falls normally on a diffraction grating. Find its period if the diffraction angle 35^(@) corresponds to one of the Fraunhofer maxima and the highest order of spectrum is equal to five.