Q. No.The binding energy per nucleon of deuterium and helium atom is \(1.1\) MeV and \(7.0\) MeV. If two deuterium nuclei fuse to form a helium atom, the energy released is:
1. \(19.2\) MeV
2. \(23.6\) MeV
3. \(26.9\) MeV
4. \(13.9\) MeV
\(^{236}_{92}\mathrm{U}\rightarrow ~^{117}\mathrm{X}~+~^{117}\mathrm{Y}~+~^1_0n~+~^1_0n,\) the binding energy per nucleon of \(\mathrm{X}\) and \(\mathrm{Y}\) is \(8.5\) MeV whereas that of \(^{236}\mathrm{U}\) is \(7.6\) MeV. The total energy liberated will be about:
1. \(2000\) MeV
2. \(200\) MeV
3. \(2\) MeV
4. \(1\) keV
\(~~A ~~~~+~~~ B~~~~~ \rightarrow~~~~C ~~+~~~~ D~~~~~ ~~Q~ MeV\\ \small{1.002~~~~~~~~ 1.004 ~~~~~~~~~~~~~1.001~~~~~~~1.003}\\ \small{amu~~~~~~~~~~amu~~~~~~~~~~~~~~amu~~~~~~~~~amu} ~~\)
The energy \(Q\) liberated in the reaction is:
1. \(1.234\) MeV
2. \(0.931\) MeV
3. \(0.465\) MeV
4. \(1.862\) MeV
| 1. | \({}_{7}^{13}\mathrm{N}\) | 2. | \({}_{5}^{10}\mathrm{B}\) |
| 3. | \({}_{4}^{9}\mathrm{Be}\) | 4. | \({}_{7}^{14}\mathrm{N}\) |
The mass of \({}_{7}^{15}\mathrm{N}\) is \(15.00011\) amu, mass of \({}_{8}^{16}\mathrm{O}\) is \(15.99492\) amu and \(m_p = 1.00783\) amu. Determine the binding energy of the last proton of \({ }_{8}^{16}\mathrm{O}\).
1. \(2.13\) MeV
2. \(0.13\) MeV
3. \(10\) MeV
4. \(12.13\) MeV
The rate of disintegration of a fixed quantity of a radioactive substance can be increased by:
1. increasing the temperature.
2. increasing the pressure.
3. chemical reaction.
4. it is not possible.
The power obtained in a reactor using \(\mathrm{U}^{235}\) disintegration is \(1000\) kW. The mass decay of \(\mathrm{U}^{235}\) per hour is:
1. \(1\) microgram
2. \(10\) microgram
3. \(20\) microgram
4. \(40\) microgram
The counting rate observed from a radioactive source at t = 0 second was 1600 counts per second and at t = 8 seconds it was 100 counts per second. The counting rate observed, as counts per second, at t = 6 seconds will be:
1. 400
2. 300
3. 200
4. 150
Half-lives of two radioactive substances A and B respectively are 20 min and 40 min. Initially, the samples of A and B have an equal number of nuclei. After 80 min the ratio of the remaining number of A and B nuclei is:
1. 1 : 16
2. 4 : 1
3. 1 : 4
4. 1 : 1
What fraction of a radioactive material will get disintegrated in a period of two half-lives?
1. whole
2. half
3. one-fourth
4. three-fourth
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