A neutron at rest decays (breaks up) to a proton and an electron. Energy is released in the decay and appears as kinetic energy of the proton and electron. The mass of a proton is 1836 times the mass of an electron. The mass of a proton is 1836 times the mass of an electron. What fraction of the total energy released goes into the kinetic energy of the proton?

Explanation:

Let and represent proton and electron respectively

Total energy decay is:

(1)

where (2)

The momentum of the particle is given by:

After the decay we have (3)

Since the particles move in opposite direction,

From eq (3) we get (4)

From eq (2) we get

From eq (1) and (4),

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