# of diffraction orders seen???

[BuBbLeS01]

1. The problem statement, all variables and given/known data
A 513 line/mm diffraction grating is illuminated by light of wavelength 567 nm. How many diffraction orders are seen?


2. Relevant equations



3. The attempt at a solution
d*sin theta = mt
t = wavelength

m = d*sin theta/t
I don't have the angle so I just omitted it assuming it would be very small and I did...
m = d/t = 3.4 so 3 diffraction orders

Is this correct?

[BuBbLeS01]

Does anyone know how to do this?

[Snazzy]

The value of sin has to be at a maximum (ie. 1), so the angle is 90 degrees. What you did looks right. If the angle was very small, then m would also be very small.

[BuBbLeS01]

Thank you so much! I have a test on Thursday and I am having a hard time understanding light!!