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Help with a diffraction grating problem

  • #1

Homework Statement


Monochromatic light illuminates a diffraction grating having 5950 lines/cm. The diffraction angle for the first order image is 18 degrees. what is the wavelength in nm


Homework Equations


wavelength=D * Sin(Theta


The Attempt at a Solution



So I know theta is 18, and the D is cm over lines so you have to flip 5950 to 1/5950. What I dont know is does this need to be in nm, or can you leave it in cm. Please explain how to do this for me. Thanks in advance
 

Answers and Replies

  • #2
Doc Al
Mentor
44,912
1,170
All distances had better be in the same units. Since you want the wavelength in nm, express D in terms of nm. 1 cm = 10-2 m; 1 nm = 10-9 m. So 1 cm equals how many nm?
 
  • #3
154
0
Have you access to the answer
is it 0.520nm?
 
  • #4
154
0
Actually it would be right even if you divide the answer of 1/5950 by hundred to get d in meters then convert the answer to nm
 

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