If you treat an electron as a classical rigid sphere with radius 1.40x10-17 m and uniform density, what angular speed w is necessary to produce a spin angular momentum of magnitude √√3/4ħ? Use h = 6.63x10-34 J.s for Planck's constant, recalling that ħ=h/2π, and 9.11x10-31 kg for the mass of an electron. Express your answer in radians per second to three significant figures. View Available Hint(s) W = ΠΫΠΙ ΑΣΦ Submit Part B ? rad/s Use the equation v=rw relating velocity to radius and angular velocity together with the result of Part A to calculate the speed v of point at the electron's equator. Express your answer in meters per second to three significant figures.
If you treat an electron as a classical rigid sphere with radius 1.40x10-17 m and uniform density, what angular speed w is necessary to produce a spin angular momentum of magnitude √√3/4ħ? Use h = 6.63x10-34 J.s for Planck's constant, recalling that ħ=h/2π, and 9.11x10-31 kg for the mass of an electron. Express your answer in radians per second to three significant figures. View Available Hint(s) W = ΠΫΠΙ ΑΣΦ Submit Part B ? rad/s Use the equation v=rw relating velocity to radius and angular velocity together with the result of Part A to calculate the speed v of point at the electron's equator. Express your answer in meters per second to three significant figures.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Part A**
If you treat an electron as a classical rigid sphere with a radius of \(1.40 \times 10^{-17}\) m and uniform density, what angular speed \(\omega\) is necessary to produce a spin angular momentum of magnitude \(\sqrt{\frac{3}{4}}\hbar\)? Use \(\hbar = 6.63 \times 10^{-34}\) J·s for Planck’s constant, recalling that \(\hbar = h/2\pi\), and \(9.11 \times 10^{-31}\) kg for the mass of an electron.
Express your answer in radians per second to three significant figures.
- [View Available Hint(s)]
\[
\omega = \underline{\qquad\qquad} \, \text{rad/s}
\]
[Submit]
**Part B**
Use the equation \(v = r\omega\) relating velocity to radius and angular velocity together with the result of Part A to calculate the speed \(v\) of a point at the electron’s equator.
Express your answer in meters per second to three significant figures.
\[
v = \underline{\qquad\qquad} \, \text{m/s}
\]
[Submit] [Request Answer]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03d19364-d2f4-4703-a72b-e46c5aa833e9%2F3baebdff-abb7-4cea-a75e-96508efc3156%2Fzovua6_processed.png&w=3840&q=75)
Transcribed Image Text:**Part A**
If you treat an electron as a classical rigid sphere with a radius of \(1.40 \times 10^{-17}\) m and uniform density, what angular speed \(\omega\) is necessary to produce a spin angular momentum of magnitude \(\sqrt{\frac{3}{4}}\hbar\)? Use \(\hbar = 6.63 \times 10^{-34}\) J·s for Planck’s constant, recalling that \(\hbar = h/2\pi\), and \(9.11 \times 10^{-31}\) kg for the mass of an electron.
Express your answer in radians per second to three significant figures.
- [View Available Hint(s)]
\[
\omega = \underline{\qquad\qquad} \, \text{rad/s}
\]
[Submit]
**Part B**
Use the equation \(v = r\omega\) relating velocity to radius and angular velocity together with the result of Part A to calculate the speed \(v\) of a point at the electron’s equator.
Express your answer in meters per second to three significant figures.
\[
v = \underline{\qquad\qquad} \, \text{m/s}
\]
[Submit] [Request Answer]
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