Aproton(mass1.6726×10−27kg)andaneutron(mass1.6749×10−27kg)at rest interact to form a deuterium nucleus (heav

Aproton(mass1.6726×10−27kg)andaneutron(mass1.6749×10−27kg)at rest interact to form a deuterium nucleus (heavy hydrogen).In this process,a gamma ray (high energy photon) is emitted.The energy of this gamma ray is measured to be
2.2MeV≡2.2×106 eV.
a) What is the mass of the deuteron?Assume that you can neglect the small kinetic energy of the deuteron acquires after emitting the gamma ray,but keep all five significant figures as you calculate.
b) If we include the emitted gamma ray along with the proton and neutron (now bound in the deuteron) in the final state of the system to which we apply the momentum principle,we conclude that the system’s momentum must be conserved.That is,the deuteron must recoil with momentum equal and opposite to the momentum of the emitted gamma ray.Estimate the kinetic energy of the recoiling deuteron and verify that it is indeed small compared to the energy of the gamma ray,as assumed in part a).