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seanmcgowan
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Homework Statement
Monochromatic light shines on the surface of a diffraction grating with 5.3x10^3 lines/cm. The first order maximum is observed at an angle of 17 (degrees). Find the wavelength.
a) 420nm c) 530nm
b) 520nm d) 550nm
Homework Equations
d(sin [tex]\Theta[/tex])=m[tex]\lambda[/tex]
d= 5.3x10^lines/cm=5.3x10^3 lines/m
[tex]\Theta[/tex]=17
m (the order maximum)= 1
The Attempt at a Solution
I rearranged the problem so it looked like this: [tex]\lambda[/tex]=(d[tex]\Theta[/tex])/m
Since m=1, I dropped it and only worked with the numerator.
The distance between the slits is 1/53 metres so the full equation looks like this: (1/53)(sin17)= [tex]\lambda[/tex]
(1/53)(.29)=[tex]\lambda[/tex]
.0054716981=[tex]\lambda[/tex]
Just by looking at this answer its easy to see its wrong, but why? I followed the equation, so what's up? Any help would be appreciated.