If the mass of the iron nucleus is \(55.85~\text{u}\) and \(\mathrm{A} = 56\), the nuclear density of the iron is:

1. \(2.27\times10^{17}~\text{kg m}^{-3}\)
2. \(1.36\times 10^{15}~\text{kg m}^{-3}\)
3. \(3.09\times10^{17}~\text{kg m}^{-3}\)
4. \(4.11\times10^{15}~\text{kg m}^{-3}\)
Subtopic:  Nuclear Binding Energy |
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The energy equivalent of \(1\) g of substance is:

1. \(8.3\times10^{13}~\text{J}\) 2. \(9\times10^{13}~\text{J}\)
3. \(7.7\times10^{13}~\text{J}\) 4. \(11\times10^{13}~\text{J}\)
Subtopic:  Nuclear Binding Energy |
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We are given the following atomic masses:
\({ }_{92}^{238} \mathrm{U}=238.05079~\text{u},{ }_2^4 \mathrm{He}=4.00260~\text{u} \\ { }_{90}^{234} \mathrm{Th}=234.04363~\text{u},{ }_1^1 \mathrm{H}=1.00783~\text{u}\\ { }_{91}^{237} \mathrm{~Pa}=237.05121~\text{u} \)

Here the symbol \(\mathrm{Pa}\) is for the element protactinium \((Z=91)\).

The energy released during the alpha decay of \({}^{238}_{92}\mathrm{U}\) 
is:
1. \(6.14~\text{MeV}\)
2. \(7.68~\text{MeV}\)
3. \(4.25~\text{MeV}\)
4. \(5.01~\text{MeV}\)

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We are given the following atomic masses:
\({ }_{92}^{238} \mathrm{U}=238.05079~\text{u},{ }_2^4 \mathrm{He}=4.00260~\text{u} \\ { }_{90}^{234} \mathrm{Th}=234.04363~\text{u},{ }_1^1 \mathrm{H}=1.00783~\text{u}\\ { }_{91}^{237} \mathrm{~Pa}=237.05121~\text{u} \)

Here the symbol Pa is for the element protactinium \((Z=91)\).

Then:

1. \({}_{92}^{238}\mathrm{U}\) can not spontaneously emit a proton.
2. \({}_{92}^{238}\mathrm{U}\) can spontaneously emit a proton.
3. The \(Q\text-\)value of the process is negative.
4. Both (1) and (3) are correct.
Subtopic:  Nuclear Binding Energy |
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