When you shine a laser with unknown wavelength through a diffraction grating wit
ID: 306680 • Letter: W
Question
When you shine a laser with unknown wavelength through a diffraction grating with 1000 slits/mm, you observe the m = 1 bright fringe on the screen with an angle of 26 degrees away from the center of the grating. What is the wavelength of your laser? What is the relationship between the laser wavelength, the angle of the bright fringe, and the diffraction grating spacing? Is the color of the light in the diagram correct? If not, what color would you draw in the diagram?
Laser Diffraction pointer grating M 1 bright spot M0 bright spot M1 bright spot ScreenExplanation / Answer
a] Condition of maximum,
d sin theta = m lambda where d is distance between slits, theta is angle, lambda is wavelength, m is mth fringe.
1/[1000e3] sin 26 degree = 1* lambda
lambda = sin 26 degree / 1e6
= 4.38*10^-7 m answer
b] Relationship : d sin theta = m lambda
where d is spacing between slits, theta is angle, lambda is wavelength, m is mth fringe
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