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$Both ${ }^{14} \mathrm{O}$ and ${ }_{8}^{19} \mathrm{O}$ undergo beta decay. Which would you expect to emit a positron and which an electron? Why?$

Both ${ }^{14} \mathrm{O}$ and ${ }_{8}^{19} \mathrm{O}$ undergo beta decay. Which would you expect to emit a positron and which an electron? Why?

$Calculate the total nuclear binding energy of ${ }^{3} \mathrm{He}$ and ${ }^{3} \mathrm{H}$. Account for any difference by considering the Coulomb interaction of the extra proton of ${ }^{3} \mathrm{He} .$$

Calculate the total nuclear binding energy of ${ }^{3} \mathrm{He}$ and ${ }^{3} \mathrm{H}$. Account for any difference by considering the Coulomb interaction of the extra proton of ${ }^{3} \mathrm{He} .$

$Calculate the average number of collisions needed for neutrons of average initial energy $2 \mathrm{MeV}$ to be thermalized (average energy $0.025 \mathrm{eV}$ ) when scattered by beryllium $(A=9)$, iron $(A=56)$ and lead $(A=207)$. In each case, how many collisions would be needed to reduce the average energy to be about half the initial energy?$

Calculate the average number of collisions needed for neutrons of average initial energy $2 \mathrm{MeV}$ to be thermalized (average energy $0.025 \mathrm{eV}$ ) when scattered by beryllium $(A=9)$, iron $(A=56)$ and lead $(A=207)$. In each case, how many collisions would be needed to reduce the average energy to be about half the initial energy?

Calculate the maximum energy a $5-\mathrm{MeV} \alpha$ particle can transfer to an electron initially at rest. Assume the $\alpha$ particle is infinitely massive compared with the electron.

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INSTANT ANSWER

A linear harmonic oscillator of charge e is perturbed by an electric field t in the positive x-direction. The first order change in the energy level is zero why ? Calculate the energy upto second order.

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Joice j.