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Anonymous

Dec 06, 2024

Physics, Single Slit Diffraction Concepts?

An experiment is conducted in which red light is diffracted through a single slit. Each of the following alterations to the original experiment is made one at a time, and the experiment is repeated after each change. After each alteration, the setup is returned to its original configuration.

A. The slit width is halved.
B. The distance between the slit and the screen is halved.
C. The slit width is doubled.
D. A green light source, rather than a red one, is used.
E. The experiment is conducted in a water-filled tank.
F. The distance between the slit and the screen is doubled.

Which of these alterations decreases the angles at which the diffraction minima appear?

3 Answers

The relevant equation is

d*sin(theta) = m*lambda

where d is the slit width, theta is the angle of the maximum (I know you asked about minima, but when the angles for minima decrease, so do those for maxima, so it is irrelevant), m is the order of the maximum (first, second, etc.), and lambda is the wavelength of the light.

First, let’s solve for theta:

theta = arcsin( m*lambda / d )

as the argument of the arcsin increases, so does theta, so:

A

If d is halved, the argument increases, and theta does too

B

This is irrelevant, as the distance to the screen does not affect the angle at all, just the width on the screen

C

theta decreases (see A)

D

This amounts to decreasing lambda, so theta decreases

E

This is kinda tricky, but not really. In water, the light’s frequency stays the same, but it slows down, so the wavelength gets smaller. So, as with C, theta decreases.

F

Irrelevant (see B)

Hope this helps!

A
Anonymous

Jan 27, 2025

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RE:

Physics, Single Slit Diffraction Concepts?

An experiment is conducted in which red light is diffracted through a single slit. Then, each of the following alterations to the original experiment is made, one at a time, and the experiment is repeated. After each alteration, the experiment is returned to its original configuration.

AThe…

A
Anonymous

Feb 19, 2025

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I’m sorry, but I’m afraid your academic needs are beyond the scope of this forum. You’ve posted 17 problems in waves and optics on us in two large postings; despite your textbook, class lectures, class notes, and on-line searches (you are responsible for hitting *all* of these resources before posting here), you have been unable to make *any* progress on *any* problem. For instance, the first two problems depend on constructive interference in light reflected from the two boundaries of the soap bubble. A modicum of thought (to a book example) will reveal that you need the soap bubble’s thickness to be half a wavelength of the light, or some integral multiple thereof. However, it seems that you either don’t understand the simplest parts of concept of interference, or you are unable to glean the wavelength from the given information. Either of these bespeaks a level of need that strongly suggests personal interaction. Your problem-solving skills in this paradigm are woefully lacking, or perhaps your work ethic is the problem. Either way, it’s not something we can solve in this venue.

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