(A) Given masses: $m_n = 1.00893 \text{ amu}$, $m_p = 1.00813 \text{ amu}$, $m_d = 2.01473 \text{ amu}$.Deuteron $({}_1H^2)$ nucleus consists of one p

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(A) Given masses: $m_n = 1.00893 \text{ amu}$, $m_p = 1.00813 \text{ amu}$, $m_d = 2.01473 \text{ amu}$.Deuteron $({}_1H^2)$ nucleus consists of one proton and one neutron.Mass defect $\Delta m = (m_n + m_p) - m_d$.$\Delta m = (1.00893 + 1.00813) - 2.01473 = 2.01706 - 2.01473 = 0.00233 \text{ amu}$.Packing fraction is defined as the ratio of mass defect to the mass number $(A)$.For deuteron, $A = 2$.Packing fraction $= \frac{\Delta m}{A} = \frac{0.00233}{2} = 0.001165 = 11.65 \times 10^{-4}$.

Class 12 Physics Nuclei Mass-Energy, Nuclear Binding Energy, Nuclear Stability

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The masses of neutron, proton and deuteron in amu are $1.00893$, $1.00813$ and $2.01473$, respectively. The packing fraction of the deuteron in amu is

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A
$11.65 \times 10^{-4}$
B
$23.5 \times 10^{-4}$
C
$33.5 \times 10^{-4}$
D
$47.15 \times 10^{-4}$

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Mass-Energy, Nuclear Binding Energy, Nuclear Stability

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The masses of neutron, proton and deuteron in amu are $1.00893$, $1.00813$ and $2.01473$, respectively. The packing fraction of the deuteron in amu is

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The mass of a proton is $1.0073 \, u$ and that of a neutron is $1.0087 \, u$. The binding energy of $_2He^4$ is .... ($u = \text{atomic mass unit}$,mass of helium nucleus = $4.0015 \, u$)

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If the binding energy per nucleon in $_3^7Li$ and $_2^4He$ nuclei are $5.60 \, MeV$ and $7.06 \, MeV$ respectively,then in the reaction $p + {}_3^7Li \to 2 {}_2^4He$,the energy of the proton must be ........... $MeV$.

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Consider the nuclear reaction $X^{200} \rightarrow A^{110} + B^{90}$. If the binding energy per nucleon for $X$,$A$,and $B$ is $7.4 \, MeV$,$8.2 \, MeV$,and $8.2 \, MeV$ respectively,then the amount of energy released is .......... $MeV$.

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The binding energy per nucleon for a deuteron and an $\alpha$-particle are $x_1$ and $x_2$ respectively. The energy $Q$ released in the following reaction is:
$_1H^2 + _1H^2 \rightarrow {_2}{He}^4 + Q$