No.of orders of diffraction visible

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The discussion revolves around understanding the number of diffraction orders visible in a diffraction pattern. The key equation dsinθ=nλ is used to analyze how the distance between slits (d) affects the angle (θ) and the number of orders (n). As the slit separation decreases, the maximum number of diffraction orders that can fit between +π/2 and -π/2 also decreases, leading to a reduction in n. The confusion arises from the relationship between slit distance and the resulting diffraction pattern. Ultimately, a clearer understanding of the relationship between slit separation and diffraction orders is achieved.
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1. Homework Statement
image.jpg


Homework Equations


dsinθ=nλ

The Attempt at a Solution


I chose D, but I can't seem to see why the number of orders changes. There are more lines per metre, so distance between slits decreases, hence sinθ would increase, which means θ increases too. But this would only apply if the number of diffraction orders and the wavelength is the same, according to the formula. Why does the number of diffraction order changes? The answer is B
 
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How many can fit between + pi/2 and - pi/2?
 
Dr. Courtney said:
How many can fit between + pi/2 and - pi/2?
2d/λ ?
 
Dr. Courtney said:
How many can fit between + pi/2 and - pi/2?
Ohhh, so as distance between slits, d, reduces, n reduces, ok I got it. Thanks!
 

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