Physics

Problem

When a

^{7}_{3}\mathrm{Li}

target is bombarded with a proton, two alpha particles are produced.

^{7}_{3}\mathrm{Li}+^{1}_{1}\mathrm{H}\;\longrightarrow\;2\,^{4}_{2}\mathrm{He}+Q

Atomic masses (in u):

^{7}_{3}\mathrm{Li}:\;7.016004

^{1}_{1}\mathrm{H}:\;1.007825

^{4}_{2}\mathrm{He}:\;4.002603

1\,\text{u}=931.5\,\text{MeV}/c^{2}

(a) Verify, by explicitly checking nucleon number and charge, that the reaction is balanced. (b) Calculate the

Q

-value of the reaction in

\text{MeV}

. (c) Determine the increase in binding-energy per nucleon (in

\text{MeV}

per nucleon) that results from the reaction. a. (a) Show that the given reaction is balanced with respect to both nucleon number and charge. b. (b) Calculate the

Q

-value of the reaction in

\text{MeV}

using the masses provided. c. (c) Determine the increase in binding-energy per nucleon produced by the reaction.

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