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Chapter 36: Q.35 (page 1060)

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

Short Answer

Expert verified

Speed of particle is 0.707c.

Step by step solution

01

Given information

We have given that, particle has momentum mc.

02

Step 1.

The formula of relativistic momentum is :

蚁=mv1-v2c2

here, m = mass of particle

v = velocity of particle

c = speed of light

蚁= relativistic momentum

We have given that the relativistic momentum is mc.

03

Step 2.

Substituting the values in formula :

mc=mv1-v2c2

1-v2c2=vc

1=2v2c2

v=c2

v=0.707c

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