/*! 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} Q. 57 Through what potential differenc... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 36: Q. 57 (page 1061)

Through what potential difference must an electron be accelerated, starting from rest, to acquire a speed of 0.99c?

Short Answer

Expert verified

The potential difference required is3.12脳106V.

Step by step solution

01

Given Information

We have given that, speedv=0.99c.

We have to find the potential difference.

02

Simplify

The mass of an electron is m=9.10脳10-31, the kinetic energy of an electron travelling at a constant velocityv=0.99cis given by

role="math" localid="1649909533780" Ek=mc211-(v/c)2-1=9.1脳10-31脳3脳108211-(0.99)2-1=4.99脳10-13J

Now, if there is a potential difference vthen we have

role="math" localid="1649909731842" vq=Ekv=Ekq=4.99脳10-131.6脳10-19=3.12脳106v

So the potential difference required is 3.12脳106V.

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

An event has spacetime coordinates (x,t)=(1200m,2.0渭s)in reference frame S. What are the event鈥檚 spacetime coordinates (a) in reference frame S'that moves in the positive x-direction at 0.80cand (b) in reference frame S''that moves in the negative x-direction at0.80c?

At what speed, as a fraction of c, is a particle鈥檚 kinetic energy twice its rest energy?

Two events in reference frame S occur 10渭s apart at the same point in space. The distance between the two events is 2400min reference frame S'.

a. What is the time interval between the events in reference frame S鈥�?

b. What is the velocity ofS'relative to S?

The sun radiates energy at the rate 3.8脳1026W. The source of this energy is fusion, a nuclear reaction in which mass is transformed into energy. The mass of the sun is 2.0脳1030kg.

a. How much mass does the sun lose each year?

b. What percent is this of the sun鈥檚 total mass?

c. Fusion takes place in the core of a star, where the temperature and pressure are highest. A star like the sun can sustain fusion until it has transformed about 0.10%of its total mass into energy, then fusion ceases and the star slowly dies. Estimate the sun鈥檚 lifetime, giving your answer in billions of years.

What is the speed, as a fraction of c, of a particle whose momentum is mc?
See all solutions

Recommended explanations on Physics Textbooks

Wave Optics

Read Explanation

Electrostatics

Read Explanation

Geometrical and Physical Optics

Read Explanation

Magnetism

Read Explanation

Fluids

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.