A semiconductor laser emits light at 400.0 nm. The light is passed through a grating where 1,000 lines are etched covering a space of 10.00 mm. The light is directed directly at the grating.

(a) What is the angle the light beam diffracts for first order diffraction? 

(b) What is the angle the light beam diffracts for second order diffraction? 

(c) The laser is changed out. The first order angle of diffraction is now 23.9°. What wavelength of light does it produce? 

(d) If a new grating with the spacing between the lines doubled were to replace the one above, what would the new angle be for part a? 

(e) Would the magnitude of the angle of diffraction be different going left from going right?