Q. No.
The half-life of a radioactive isotope ‘X’ is 20 years. It decays to another element ‘Y’ which is stable. The two elements ‘X’ and ‘Y’ were found to be in the ratio 1:7 in a sample of a given rock. The age of the rock is estimated to be:
1. 60 years
2. 80 years
3. 100 years
4. 40 years
2. 80 years
3. 100 years
4. 40 years
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If the nuclear radius of 27Al is 3.6 Fermi, the approximate nuclear radius of 64Cu in Fermi is:
1. 2.4
2. 1.2
3. 4.8
4. 3.6
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A mixture consists of two radioactive materials A1 and A2 with half-lives of 20 s and 10 s respectively. Initially, the mixture has 40 g of A1 and 160 g of A2. The amount of the two in the mixture will become equal after:
1. 60 s
2. 80 s
3. 20 s
4. 40 s
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The power obtained in a reactor using disintegration is 1000 kW. The mass decay of per hour is approximately equal to:
1.
2.
3.
4.
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The half-life of a radioactive element X is 50 yrs. It decays to another element Y which is stable. The two elements X and Y were found to be in the ratio of 1:15 in a sample of a given rock. The age of the rock was estimated to be:
1. 200 yr
2. 250 yr
3. 100 yr
4. 150 yr
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1. atoms get ionized at high temperature
2. kinetic energy is high enough to overcome the Coulomb repulsion between nuclei
3. molecules break up at high temperature
4. nuclei break up at high temperature
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The mass of a \({}_{3}^{7}\mathrm{Li}\) nucleus is \(0.042\) u less than the sum of the masses of all its nucleons. The binding energy per nucleon of the \({}_{3}^{7}\mathrm{Li}\) nucleus is near:
1. \(4.6\) MeV
2. \(5.6\) MeV
3. \(3.9\) MeV
4. \(23\) MeV
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The activity of a radioactive sample is measured as N0 counts per minute at t = 0 and N0/e counts per minute at t = 5 min. The time (in minute) at which the activity reduces to half its value is:
1.
2.
3.
4.
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In the nuclear decay given below:
the particles emitted in the sequence are:
| 1. | \(\beta, \alpha, \gamma \) | 2. | \(\gamma, \beta, \alpha \) |
| 3. | \(\beta, \gamma, \alpha \) | 4. | \(\alpha, \beta, \gamma\) |
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