Number of diffracted orders produced

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Homework Statement


Hi
A liitle help will be appreciated. The question is as follows:
A laser beam of wavelength 630nm is directed normally at a diffraction grating with 300 lines per millimetre. Calculate:
a) The angle of diffraction of each of the first 2 orders
b) The number of diffracted orders produced



Homework Equations



I used the formula

d X sintheta = n x wavelength





The Attempt at a Solution


N= 300000
therefore d= 1/300000

n=2
Wavelength = 630nm

Putting the above value in I obtained 22 .2 degrees

b) For the second part, I surmised that theta = 90 degrees
Therefore,
n = d/wavelength

I obtained 5. 29. But this diifers from the books answer.

Please help!
 
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I've replied to this on TSR.
 
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