The minimum kinetic energy needed by an alpha particle to cause the nuclear reaction \( { }_{7}^...
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The minimum kinetic energy needed by an alpha particle to cause the nuclear reaction \( { }_{7}^{16} \mathrm{~N}+{ }_{2}^{4} \mathrm{He} \rightarrow{ }_{1}^{1} \mathrm{H}+{ }_{8}^{19} \mathrm{O} \) in a laboratory frame is \( n \) (in \( \mathrm{MeV} \) ). Assume that \( { }_{7}^{16} \mathrm{~N} \) is at rest in the laboratory frame. The masses of \( { }_{7}^{16} \mathrm{~N},{ }_{2}^{4} \mathrm{He},{ }_{1}^{1} \mathrm{H} \) and \( { }_{8}^{19} \mathrm{O} \) can be taken to be \( 16.006 \mathrm{u}, 4.003 \mathrm{u}, 1.008 \mathrm{u} \) and 19.003 \( \mathrm{u} \), respectively, where \( 1 \mathrm{u}=930 \mathrm{MeVc}^{-2} \). The value of \( n \) is
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