Looking at diffraction gratings .

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The discussion centers on calculating the angle between the zero-order and second-order spectra for monochromatic light incident on a diffraction grating with alternating opaque and transparent strips. The correct formula for slit separation is derived as a + b, where 'a' is the width of the opaque strips and 'b' is the width of the transparent strips. The initial misunderstanding arose from assuming the slit separation was solely 'a', but it was clarified that the separation should account for both strip widths. The correct angle is given by sin^-1(2λ / (a + b)).

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Looking at diffraction gratings...

Ok, so I got a question in my assignment.

Monochromatic light of wavelength l is incident normally on a diffraction grating consisting of alternate opaque strips of width a and transparent strips of width b. The angle between the emerging zero order and second order spectra is given by?

So I assumed that the slit separation is given by a since transparent strips (i assumed) is like those empty slits and slit separation is opaque.

So I tried dsinθ=nλ. But my ans is sin^-1 2l/a.
But the answer given is sin^-1 2l / (a+b)

Is there a problem in my understanding of the question?

EDIT: Is it because slit separation is calculated from the centre of each slit. Thus, the two 1/2 b will add together to get b, leading to slit separation a+b?
 
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Hi qazxsw11111! :smile:
qazxsw11111 said:
EDIT: Is it because slit separation is calculated from the centre of each slit. Thus, the two 1/2 b will add together to get b, leading to slit separation a+b?

Yup! :biggrin:
 

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