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Chapter 36: Q. 34 (page 1060)

At what speed, as a fraction of c, is a particle’s momentum twice its Newtonian value?

Short Answer

Expert verified

Speed of particle will be 0.866c.

Step by step solution

01

Given information 

We have given that, particle’s momentum twice its Newtonian value.

02

Step 1.

The Newtonian momentum is ρ=mv

Relativistic momentum of the particle is ρ=mv1-v2c2

As we have given that relativistic momentum is twice of Newtonian momentum, so :

mv1-v2c2=2mv

03

Step 2.

1-v2c2=14

v=32c

v=0.866c

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