**Problem:**An electron enters a region of space containing a uniform \(2.01 \times 10^{-5}\, \text{T}\) magnetic field. Its speed is \(129\, \text{m/s}\) and it enters perpendicularly to the field. Under these conditions, the electron undergoes circular motion. Find the radius \(r\) of the electron's path and the frequency \(f\) of the motion.**Solution:**To find the radius \(r\) of the electron's path:\[ r = \](To be filled with the calculated answer in meters)To find the frequency \(f\) of the motion:\[ f = \](To be filled with the calculated answer in hertz)These answers can be calculated using the formulas for motion of a charged particle in a magnetic field:\[r = \frac{mv}{qB}\]\[f = \frac{qB}{2\pi m}\]Where:- \( m \) is the mass of the electron (\( 9.11 \times 10^{-31}\, \text{kg} \))- \( v \) is the speed of the electron (\(129\, \text{m/s}\))- \( q \) is the charge of the electron (\( 1.60 \times 10^{-19}\, \text{C} \))- \( B \) is the magnetic field (\(2.01 \times 10^{-5}\, \text{T}\)) Note: These calculations assume the motion is ideal with no external forces other than the magnetic field.

Answered: Image /qna-images/answer/889f05dd-2380-446a-9572-ec58a44453a3.jpg

An electron enters a region of space containing a uniform 2.01 x 10-5 T magnetic field. Its speed is 129 m/s and it enters perpendicularly to the field. Under these conditions, the electron undergoes circular motion. Find the radius r of the electron's path and the frequency f of the motion. r = f = m Hz

An electron enters a region of space containing a uniform 2.01 x 10-5 T magnetic field. Its speed is 129 m/s and it enters perpendicularly to the field. Under these conditions, the electron undergoes circular motion. Find the radius r of the electron's path and the frequency f of the motion. r = f = m Hz

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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