In the figure, a charged particle moves into a region of uniform magnetic field B, goes through half a circle, and then exits that region.The particle is either a proton or an electron (you must decide which). It spends 135 ns in the region. (a) What is the magnitude of B?(b) If the particle is sent back through the magnetic field (along the same initial path) but with 1.55 times its previous kinetic energy,how much time does it spend in the field during this trip?(a) Number i(b) Number iUnitsUnits>

Answered: In the figure, a charged particle moves…

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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Question

In the figure, a charged particle moves into a region of uniform magnetic field B, goes through half a circle, and then exits that region.
The particle is either a proton or an electron (you must decide which). It spends 135 ns in the region. (a) What is the magnitude of B?
(b) If the particle is sent back through the magnetic field (along the same initial path) but with 1.55 times its previous kinetic energy,
how much time does it spend in the field during this trip?
(a) Number i
(b) Number i
Units
Units
>

Expert Solution

Step 1: Nature of the charged particle using the right-hand rule

According to the right-hand rule for magnetic fields, if the thumb points in the direction of the velocity of the particle, and the index finger in the direction of the magnetic field, then the middle finger will point in the direction of the force acting on a positive charge.

Given that the deflection is to the left, and the magnetic field is out of the paper, it means the force acting on the particle is towards the left. This implies that the particle must be positively charged.

Therefore, the particle in this scenario is most likely a proton, as electrons are negatively charged and would deflect in the opposite direction (to the right) in the same situation.

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