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A student views a neon light tube through a spectroscope, which has a diffraction grating of...

A student views a neon light tube through a spectroscope, which has a diffraction grating of 550 lines/mm and a viewing screen 25 cm from the grating.  The observer sees the first-order red line at a distance of 92.97 mm from the hole in spectroscope viewing screen.

1. Calculate the wavelength of the red light coming from the Neon light tube.

2. Calculate the maximum order of the interference fringe for this wavelength.

3. Calculate the resolving power for this spectroscope if it's able to resolve a difference in wavelength of 0.3 nm.

4. Calculate the minimum width of this grating for it to resolve the red light, based on its resolving power.

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