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 MeV while that of fragments is 8.5 MeV. The total gain in the binding energy in the process is:

1. 804 MeV 

2. 216 MeV 

3. 0.9 MeV 

4. 9.4 MeV 

Subtopic:  Nuclear Binding Energy |
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A radioactive nucleus XZA undergoes spontaneous decay in the sequence XZA Bz-1  Cz-3 Dz-2, where Z is the atomic number of element X. The possible decay particles in the sequence are: 

1. β+, α, β-

2. β-, α, β+

3. α,  β-, β+

4. α,  β+, β-

Subtopic:  Types of Decay |
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The half-life of a radioactive nuclide is 100 hours. The fraction of original activity that will remain after 150 hours would be:

1. 23

2. 232

3. 1/2

4. 122

Subtopic:  Radioactivity |
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The energy equivalent of 0.5 g of a substance is:

1. 4.5×1013 J

2. 1.5×1013 J

3. 0.5×1013 J

4. 4.5×1016 J

Subtopic:  Mass-Energy Equivalent |
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When a uranium isotope U92235  is bombarded with a neutron, it generates  K3689r, three neutrons and: 

1. Z4091r

2. K36101r

3. K36103r

4. B56144a

Subtopic:  Nuclear Energy |
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What happens to the mass number and the atomic number of an element when it emits γ-radiation?

1. Mass number decreases by four and atomic number decreases by two.
2. Mass number and atomic number remain unchanged.
3. Mass number remains unchanged while atomic number decreases by one.
4. Mass number increases by four and the atomic number increases by two.
Subtopic:  Types of Decay |
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The half-life of a radioactive sample undergoing \(\alpha- \text{decay}\) is 1.4×1017 sec. If the number of nuclei in the sample is 2.0 × 1021, the activity of the sample is nearly equal to:

1.  104 Bq

2.  105 Bq

3.  106 Bq

4.  103 Bq

Subtopic:  Radioactivity |
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The rate of radioactive disintegration at an instant for a radioactive sample of half-life 2.2 ×109s is 1010 s-1. The number of radioactive atoms in that sample at that instant is:

1. 3.7×1020

2. 3.17×1017

3. 3.17×1018

4. 3.17×1019

Subtopic:  Radioactivity |
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In the given nuclear reaction, the element X is:
\({ }_{11}^{22} \mathrm{Na} \rightarrow \mathrm{X}+\mathrm{e}^{+}+\nu\)
1. \({ }_{12}^{22} \mathrm{Mg}\)
2. \({ }_{11}^{23} \mathrm{Na}\)
3. \({ }_{10}^{23} \mathrm{Ne}\)
4. \(_{10}^{22}\textrm{Ne}\)
Subtopic:  Types of Decay |
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A nucleus of mass number 189 splits into two nuclei having mass numbers 125 and 64. The ratio of the radius of two daughter nuclei respectively is:
1. 25:16
2. 1:1
3. 4:5
4. 5:4
Subtopic:  Nucleus |
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