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.

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.

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.

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 Q value of a nuclear reaction A + b rarr C + d is defined by Q = [ m_A + m_b -m_C- m_d]c^2 where the masses refer to the respective nuclei. Determine from the given data the Q-value of the following reaction and state whether the reaction is exothermic or endothermic. "_6^12C + "_6^12C rarr "_10^20Ne + "_2^4He Atomic masses are given to be m( "_6^12C ) = 12.000000 u m( "_10^20Ne ) = 19.992439 u

Estimate the fraction of electrons,which are excited from the energy gap of 1.1 eV at a temperature of 300 K. Given Boltzmann's constant, k=1.38 xx 10^(-23) J .

Write symbolically the process expressing the beta^+ decay of _(11)Na^(22) Also write the basic nuclear process underlying this decay.

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 .

An electron is circulating around the nucleus of a hydrogen ato in a circular orbit of radius 5.3 cxx10^-11 m. Calculate the electric potential energy of the atom in eV. What would be the electric potential due to a helium nucleus at the same radius. Given, that (4piepsilon_0)^-1 = 9xx10^9 m F^-1 and e = 1.6 xx 10^-19 C .

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