/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q26E A singly charged ion of 7Li (an ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q26E (page 913)

A singly charged ion of 7Li (an isotope of lithium) has a mass of 1.16 x 10-26 kg. It is accelerated through a potential difference of 220 V and then enters a magnetic field with magnitude 0.874 T perpendicular to the path of the ion. What is the radius of the ion鈥檚 path in the magnetic field?

Short Answer

Expert verified

The radius of the ion鈥檚 path in the magnetic field is 6.46mm

Step by step solution

01

Determine the kinetic energy and potential energy

The potential energy is equal to the kinetic energy

12mv2=eV

02

Determine the velocity of the particle

7Li has a mass is1.16 x 10-26 kg

Therefore, the value foris

v=2eVm=2(1.60脳10鈭�19C)(220V)1.16脳10鈭�26kg=7.79脳104m/s

03

Determine the radius of the ion’s path in the magnetic field

The magnitude of the magnetic field is 0.874 T

Therefore, the force acting on the particle is

FB=qvB=ma

And the radial velocity is

role="math" localid="1668227699257" a=v2RqvB=mv2RThereforeR=mvqB

Therefore, by putting the value we get

R=6.46脳10鈭�3m=6.46mm

Therefore, the radius of the ion鈥檚 path in the magnetic field is 6.46mm

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A 1.50-mcylindrical rod of diameter 0.500cmis connected to

a power supply that maintains a constant potential difference of 15.0Vacross

its ends, while an ammeter measures the current through it. You observe that

at room temperature (20.0鈭�C)the ammeter reads 18.5Awhile at 92.0鈭�Cit

reads 17.2A. You can ignore any thermal expansion of the rod. Find (a) the

resistivity at and (b) the temperature coefficient of resistivity at for the material of the rod.

Small aircraft often have 24 V electrical systems rather than the 12 V systems in automobiles, even though the electrical power requirements are roughly the same in both applications. The explanation given by aircraft designers is that a 24 V system weighs less than a 12 V system because thinner wires can be used. Explain why this is so.

You want to produce three 1.00-mm-diameter cylindrical wires,

each with a resistance of 1.00 鈩� at room temperature. One wire is gold, one

is copper, and one is aluminum. Refer to Table 25.1 for the resistivity

values. (a) What will be the length of each wire? (b) Gold has a density of1.93脳10-4kgm3.

What will be the mass of the gold wire? If you consider the current price of gold, is

this wire very expensive?

In the circuit shown in Fig. E26.49, C = 5.90 mF, 詯 = 28.0 V, and the emf has negligible resistance. Initially, the capacitor is uncharged and the switch S is in position 1. The switch is then moved to position 2 so that the capacitor begins to charge. (a) What will be the charge on the capacitor a long time after S is moved to position 2? (b) After S has been in position 2 for 3.00 ms, the charge on the capacitor is measured to be 110 mC What is the value of the resistance R? (c) How long after S is moved to position 2 will the charge on the capacitor be equal to 99.0% of the final value found in part (a)?

Question: A high voltage dc power line falls on a car, so the entire metal body of the car is at a potential of with respect to the ground. What happens to the occupants (a) when they are sitting in the car and (b) when they step out of the car? Explain your reasoning.
See all solutions

Recommended explanations on Physics Textbooks

Quantum Physics

Read Explanation

Oscillations

Read Explanation

Fields in Physics

Read Explanation

Fundamentals of Physics

Read Explanation

Circular Motion and Gravitation

Read Explanation

Conservation of Energy and Momentum

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.