A nucleus with mass number \(240\) breaks into fragments each of mass number \(120.\) The binding energy per nucleon of unfragmented nuclei is \(7.6~\text{MeV}\) while that of fragments is \(8.5~\text{MeV}.\) The total gain in the binding energy in the process is:
1. \(804~\text{MeV}\)
2. \(216~\text{MeV}\)
3. \(0.9~\text{MeV}\)
4. \(9.4~\text{MeV}\)
1. | \(\beta^{+}, ~\alpha, ~\beta^{-}\) | 2. | \(\beta^{-}, ~\alpha, ~\beta^{+}\) |
3. | \(\alpha, ~\beta^{-},~\beta^{+}\) | 4. | \(\alpha, ~\beta^{+},~\beta^{-}\) |
If a \({}_{a}^{b}\mathrm{X}\) species emits firstly a positron, then two \(\alpha\) and two \(\beta\) and at last one \(\alpha\) is also emitted and finally converted into stable \({}_{d}^{c}\mathrm{Y}\) species, so the correct relation will be:
1. \(c = b-12, d = a-5\)
2. \(a = c-8, d = b-1\)
3. \(a = c-6, d = b-0\)
4. \(a = c-4, a = b-2\)
The mass number of a nucleus is:
1. | always less than its atomic number. |
2. | always more than its atomic number. |
3. | sometimes equal to its atomic number. |
4. | sometimes less than and sometimes more than its atomic number. |
1. | \(0.0305\) J | 2. | \(0.0305\) erg |
3. | \(28.4\) MeV | 4. | \(0.061\) u |
The volume occupied by an atom is greater than the volume of the nucleus by a factor of about:
1. \(10\)
2. \(10^5\)
3. \(10^{10}\)
4. \(10^{15}\)
1. | burning of hydrogen in the oxygen |
2. | fission of uranium present in the sun |
3. | fusion of protons during synthesis of heavier elements |
4. | gravitational contraction |
1. | some mass is converted into energy |
2. | the total binding energy of fragments is more than the B.E of the parental element |
3. | total B.E of fragments is less than the B.E of parental element |
4. | total B.E of fragments is equal to the B.E of parental element |