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Chapter 36: Q. 38 (page 1060)

At what speed, as a fraction of c, must an electron move so that its total energy is 10% more than its rest mass energy?

Short Answer

Expert verified

The speed of electron is 0.417c.

Step by step solution

01

Given information

We have given that, total energy of electron is 10% more than its rest mass energy.

02

Step 1.

As the total energy is 10% more of rest mass energy, we can write it as :

违pmc2=110100mc2

Here,违p= Lorentz factor

m = mass of electron

c = speed of light

违p=1.1

违
03

Step 2.

We know that 违p=11-v2c2. Substituting this value of 违p:

11-v2c2=1.1

v=0.417c

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