   Chapter 28, Problem 55PE

Chapter
Section
Textbook Problem

(a) Beta decay is nuclear decay in which an electron is emitted. If the electron is given 0.750 MeV of kinetic energy, what is its velocity? (b) Comment on how the high velocity is consistent with the kinetic energy as it compares to the rest mass energy of the electron.

(a)

To determine

The velocity of electron.

Explanation

Given data:

Relativistic Kinetic energyis K.Erel=0.750MeV .

Mass is m=9.11×1031kg .

Velocity of light is c=3×108m/s

Formula used:

The Lorentz factor is,

γ=11 v 2 c 2

Rewrite the above equation for v .

v=c(11 γ 2 )   ....... (1)

The relativistic kinetic energy is,

K.Erel=(γ1)mc2

Rewrite the above equation for γ .

K.Erel+mc2=γmc2γ=K

(b)

To determine

The high velocity is consistent with kinetic energy as comapare to the rest mass energy of electron.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

The nervous system sends messages to the glands, telling them what to do. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Why can’t you see deeper into the Sun than the photosphere?

Horizons: Exploring the Universe (MindTap Course List)

18-40 Define and give an example of Fischer esterification.

Introduction to General, Organic and Biochemistry 