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diffraction grating

So I have a question I honestly have no idea about. The screen curves around the full 180° in front of the grating. Explain why
there are eleven bright red spots on the screen.
my d is 3.3x10^-6
my theta of the first order is 11 degrees
and wavelength is 6.3x10^-7
so how on earth is the order 5?
If there Are 11 spots, there are 5 either sides and one in the middle. If I do:
Nxwavelength = dsintheta
I get 72 degrees for theta
the maximum a order can occur is 90 so does it not increase linearly by 11 degrees each time?
Is it because when I try to do an order of six I get a value over 1 and if I sin^-1 that then I get a math error? Some explanation as to why it doesn't increase linearly would be welcomed. Thanks
Original post by Danny.L
So I have a question I honestly have no idea about. The screen curves around the full 180° in front of the grating. Explain why
there are eleven bright red spots on the screen.
my d is 3.3x10^-6
my theta of the first order is 11 degrees
and wavelength is 6.3x10^-7
so how on earth is the order 5?
If there Are 11 spots, there are 5 either sides and one in the middle. If I do:
Nxwavelength = dsintheta
I get 72 degrees for theta
the maximum a order can occur is 90 so does it not increase linearly by 11 degrees each time?
Is it because when I try to do an order of six I get a value over 1 and if I sin^-1 that then I get a math error? Some explanation as to why it doesn't increase linearly would be welcomed. Thanks


No you do

nλ=dsinθn \lambda = d sin \theta

and put theta = 90 degrees to see how many orders (n) will fit into that 90 degree angle.

Then there will be the same number the other side, plus one in the middle.

The answer comes to 11

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