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Doubling the momentum of: Question 34 options: 1) a particle doubles its relativistic total energy. 2)...

Doubling the momentum of: Question 34 options: 1) a particle doubles its relativistic total energy. 2) a particle quadruples its relativistic total energy. 3) a photon doubles its relativistic total energy. 4) a photon quadruples its relativistic total energy. 5) a photon decreases its relativistic total energy.

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Answer #1

Relativistic equation for energy-momentum is

For a particle with rest mass , doubling the momentum gives the new relativistic total energy

So the first two options, particle doubles or quadruples its relativistic total energy are wrong.

Now considering a photon with rest mass ,  

Doubling the momentum , gives the new relativistic total energy

so the correct option is 3) a photon doubles its relativistic total energy.

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