Find the Q-value and the kinetic energy of the emitted a-particle in the `alpha -decay` of - `"_88^226Ra` .Given m ( `"_88^226Ra` ) = 226.02540 u and m ( `"_86^222Rn` ) = 222.01750 u.

Find the Q-value and the kinetic energy of the emitted a-particle in the a-decay of - "_86^220Rn .Given m ( "_86^220Rn ) = 220.01137 u, m ( "_84^216Po ) = 216.00189 u.

Write nuclear reaction equations for- alpha-decay of "_88^226Ra

The nucleus "_10^23Ne decays by beta^- emission. Write down the beta -decay equation and determine the maximum kinetic energy of the electrons emitted. Given that: m ( "_10^23 Ne ) = 22.994466 u m ( "_11^23 Na ) = 22.989770 u.

Obtain the maximum kinetic energy of beta -particles, and the radiation frequencies of gamma decays in the decay scheme shown in Fig. 13.6. You are given that m( "^198Au ) = 197.968233 u m( "^198Hg ) =197.966760 u :

The radionuclide "^11C decays according to "_6^11C rarr "_5^11B + e^+ + v : T_(1/2) = 20.3 min .The maximum energy of the emitted positron is 0.960 MeV. Given the mass values: m ( "_6^11C ) = 11.011434 u and m ( "_6^11B ) = 11.009305 u, calculate Q and compare it with the maximum energy of the positron emitted.

Under certain circumstances, a nucleus can decay by emitting a particle more massive than an alpha -particle. Consider the following decay processes: "_88^223Ra rarr "_82^209Pb + "_6^14C , "_88^223Ra rarr "_86^219Rn + "_2^4He .Calculate the Q-values for these decays and determine that both are energetically allowed.

Consider the fission of "_92^238U by fast neutrons. In one fission event, no neutrons are emitted and the final end products, after the beta decay of the primary fragments, are "_58^140Ce and "_44^99Ru . Calculate Q for this fission process. The relevant atomic and particle masses are m( "_92^238U ) =238.05079 u m( "_58^140Ce ) =139.90543 u m( "_44^99Ru ) = 98.90594 u

A nucleus at rest undergoes a decay emitting an alpha -particle of de-broglie wavelength lambda = 5.76 xx 10^(-15) m . The mass of daughter nucleus is 223.40 amu and that of alpha-particle is 4.002 a.m.u.detrmine the total kinetic energy in the final state.Hence,obtain teh mass of the parent nucleus in a.m.u. Given that 1 a.m.u.=931.470 MeV .

The isotopes Radium- 224(_(88)Ra^(224)) and Radium- 226(_(88)Ra^(226)) both undergo spontaneous alpha -particle decay.The enrgy of the alpha -particles emitted froim radium -224 is 5.68 MeV and from Radium-226,4.78 MeV Suggest with a reason ,which of the two isotopes has the larger decay constant.

One gram of _(88) Ra^(226) has activity of one curie .Find its half-life period.