A pion has a rest energy of 135 MeV. It decays into two gamma rays, bursts of electromagnetic...

Question:

A pion has a rest energy of 135 MeV. It decays into two gamma rays, bursts of electromagnetic radiation that travel at the speed of light. A pion moving through the laboratory at v = 0.98c decays into two gamma rays of equal energies, making equal angles with the direction of motion. Find the angle and the energies of the two gamma rays. (Hint: Gamma rays are electromagnetic radiation with E = pc)

Relativistic Momentum:

When an object is moving close to the speed of light c, the linear momentum of the object is described by;

{eq}pc = \sqrt{E^2 - (m_0c^2)^2} {/eq}

Here, p is the momentum, E is the total energy, {eq}m_0 {/eq} is the rest mass.

Answer and Explanation: 1

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When a pion decays into two photons, the total energy and the momentum should be conserved.

The total energy E of the pion is;

{eq}\begin{align} E...

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Conservation of Momentum: Physics Lab

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Chapter 8 / Lesson 11
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After completing this lab, you will be able to explain what conservation of momentum is and conduct an experiment to demonstrate conservation of momentum. You can also take the short quiz to test your knowledge.


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