Single Choice

Assume that a neutron breaks into a proton and an electron. The energy released during this process is (Mass of neutron $$=1.6725\times 10^{-27} kg$$, Mass of proton $$=1.6725\times 10^{-27} kg$$ ,Mass of electron $$=9\times 10^{-31} kg$$)

A$$0.50625$$$$\mathrm{MeV}$$
Correct Answer
B$$7.10$$ $$\mathrm{MeV}$$
C$$6.30$$ $$\mathrm{MeV}$$
D$$5.40$$ $$\mathrm{MeV}$$

Solution

$$n\rightarrow p+ e$$
$$\Delta m= (m_{p}+m_{e})-m_n$$
$$\Delta m=-9 \times 10^{-31}kg$$
Energy released $$=9 \times 10^{-31} \times (3\times 10^8)^2J$$
$$=\dfrac{9 \times 10^{-31} \times (3\times 10^8)^2}{1.6\times 10^{-13}}
$$
$$=0.50625\ \mathrm{MeV}$$

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