A physics instructor wants to project a spectrum of visible light colors from 400nm to 700nm as part of a classroom demonstration. She shines a beam of white light through a diffraction grating that has 500 lines per mm, projecting a pattern on a screen 2.4 m behind the grating.

a) how wide is the spectrum the corresponds to m=1?

b. How much distance separates the end of the m=1 spectrum and the start of m= 2 spectrum?