Is the spin of the neutron a quantized property?

In the Quantum Objects chapter it is said that neutrons coming from a nuclear oven and passing through two permanent magnets of opposite polarity hit the surface only at the top and the bottom of it (there is no continuity) because the spin property is quantized and the neutrons trajectory are deviated either at the top or the bottom extremities because the spin axis is either at 90 degree or -90 degree.

My question is: is it possible that the spin axis can exist also at 35, -35, 20, -45... degrees but as soon as the neutron pass through the magnets the spin axis is immediately rotated at 90 or -90 degrees?

That would mean that the spin is not quantized and the neutrons exiting the oven can have a spin axis of random degree, but it will look like the neutrons hitting the surface are only 90 and -90 degrees.

Note by Roberto Rizzo
1 year, 3 months ago

No vote yet
1 vote

  Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

Comments

Great question, Roberto!

I would encourage you to keep going with the course. What you're asking is really a question at the heart of quantum physics!

To give you a little preview: we don't know what angle the spin axis makes before we measure it. What we do know is that, when we do measure it, it takes one of two values: up or down. This is just the behavior of a quantum object, it's an observation about the microscopic world.

For about 100 years, people have been asking the question: what is the orientation of the spin before we measure it? But the answer to this question. belongs to the realm of philosophy, not science, because there's no way to know the answer without measuring. However, as soon as we measure, we're back to two possible outcomes.

Your thinking is spot on, and I believe you'll discover a lot if you continue on in the course. Keep up the good work!

Aaron Miller Staff - 1 year, 3 months ago
×

Problem Loading...

Note Loading...

Set Loading...