/*! 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} Q31P A particular type of fundamental... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 28: Q31P (page 831)

A particular type of fundamental particle decays by transforming into an electron e鈭�and a positron e+. Suppose the decaying particle is at rest in a uniform magnetic field of magnitude3.53mT and the e鈭� and e+move away from the decay point in paths lying in a plane perpendicular to B鈫� . How long after the decay do the e鈭� and e+collide?

Short Answer

Expert verified

e鈭�and e+ will collide after 5.05脳10鈭�9鈥�s following the decay.

Step by step solution

01

Listing the given quantities

Magnetic field B=3.53鈥�mT=3.53脳10鈭�3鈥�T.

02

Understanding the concept of the period of motion

We need to use the formula of the period of motion of charged particle into a magnetic field to find the period of the particle. As each particle travels only a half-circular path, dividing this period by 2, we will get the required time after which andwill collide.

Formula:

T=2蟺me/qB

03

Calculation of theafter the decay when  e-and e+  collide

We have:

T=2蟺meqB=2蟺(9.1脳10鈭�31鈥塳驳)(1.6脳10鈭�19鈥塁)(3.53脳10鈭�3鈥涂)=1.01脳10鈭�8鈥塻

But, each particle travels only a half-circular path. So,

t=T2=1.01脳10鈭�8鈥�s2=5.05脳10鈭�9鈥�s

Therefore, 5.05脳10鈭�9鈥�safter of the decay, e鈭�and e+will collide.

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

In Figure 28-40, an electron with an initial kinetic energy of4.0keV enters region 1 at time t= 0. That region contains a uniform magnetic field directed into the page, with magnitude 0.010T. The electron goes through a half-circle and then exits region 1, headed toward region 2 across a gap of25.0cm. There is an electric potential difference 鈭�V=2000V across the gap, with a polarity such that the electron鈥檚 speed increases uniformly as it traverses the gap. Region 2 contains a uniform magnetic field directed out of the page, with magnitude 0.020T. The electron goes through a half-circle and then leaves region 2. Atwhat time tdoes it leave?

Figure 28-52 gives the orientation energy Uof a magnetic dipole in an external magnetic field B鈫�, as a function of angle 蠒 between the directions B鈫�, of and the dipole moment. The vertical axis scale is set by Us=2.0脳10-4J. The dipole can be rotated about an axle with negligible friction in order that to change 蠒. Counterclockwise rotation from 蠒=0yields positive values of 蠒, and clockwise rotations yield negative values. The dipole is to be released at angle 蠒=0with a rotational kinetic energy of 6.7脳10-4J, so that it rotates counterclockwise. To what maximum value of 蠒will it rotate? (What valueis the turning point in the potential well of Fig 28-52?)

An electron is moving at 7.20脳106m/sin a magnetic field of strength 83.0mT. What is the (a) maximum and (b) minimum magnitude of the force acting on the electron due to the field? (c) At one point the electron has an acceleration ofmagnitude role="math" localid="1662987933736" 4.90脳1014m/s2.What is the angle between the electron鈥檚 velocity and the magnetic field?

Question: At one instantv鈫�=(-2.00i^+4.00j^-6.00k^)m/s, is the velocity of a proton in a uniform magnetic fieldB鈫�=(2.00i^-4.00j^+8.00k^)mTAt that instant, what are (a) the magnetic force acting on the proton, in unit-vector notation, (b) the angle betweenv鈫� and F鈫�, and (c) the angle betweenv鈫� and B鈫�?

Figure 28-22 shows three situations in which a positively charged particle moves at velocityV鈫�through a uniform magnetic field B鈫�and experiences a magnetic forceFB鈫�In each situation, determine whether the orientations of the vectors are physically reasonable.
See all solutions

Recommended explanations on Physics Textbooks

Engineering Physics

Read Explanation

Further Mechanics and Thermal Physics

Read Explanation

Geometrical and Physical Optics

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Radiation

Read Explanation

Oscillations

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.