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Atoms and Nuclei question

2022 · Shift 1 · Q38
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Atoms and Nuclei question

2022 · Shift 1 · Q38

JEE AdvancedPhysicsAtoms and NucleiNumerical+3 / −1
The minimum kinetic energy needed by an alpha particle to cause the nuclear reaction 716 N+24He→11H+819O{ }_{7}^{16} \mathrm{~N}+{ }_{2}^{4} \mathrm{He} \rightarrow{ }_{1}^{1} \mathrm{H}+{ }_{8}^{19} \mathrm{O}716​ N+24​He→11​H+819​O in a laboratory frame is nnn(in MeVM e VMeV. Assume that 716 N{ }_{7}^{16} \mathrm{~N}716​ N is at rest in the laboratory frame. The masses of 716 N,24He,11H{ }_{7}^{16} \mathrm{~N},{ }_{2}^{4} \mathrm{He},{ }_{1}^{1} \mathrm{H}716​ N,24​He,11​H and 819O{ }_{8}^{19} \mathrm{O}819​O can be taken to be 16.006u,4.003u,1.008u16.006 u, 4.003 u, 1.008 u16.006u,4.003u,1.008u and 19.003u19.003 u19.003u, respectively, where 1u=930 MeVc−21 u=930 \,\mathrm{MeVc}^{-2}1u=930MeVc−2. The value of nnn is ‾\underline{\hspace{2cm}}​ .
Numerical answer
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