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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At some instant, the number of radioactive atoms in a sample is N0 and after time 't',  the number decreases to N. It is found that the graphical representation '$$ln N$$' versus 't' along the y and x axis respectively is a straight line. Then the slope of this line is:
1.  $$\lambda$$
2.  $$-\lambda$$
3.  $$\lambda^{-1}$$
4.  $$-\lambda^{-1}$$

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The fraction of the original number of radioactive atoms that disintegrates (decays) during the average lifetime of a radioactive substance will be:
1.  $$\frac{1}{e}$$
2.  $$\frac{1}{1+e}$$
3.  $$\frac{e-1}{e+1}$$
4.  $$\frac{e-1}{e}$$

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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 ${}_{\mathrm{Z}}{}^{\mathrm{A}}\mathrm{X}$ undergoes spontaneous decay in the sequence , where Z is the atomic number of element X. The possible decay particles in the sequence are :

1.

2.

3.

4.

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. $\frac{2}{3}$

2. $\frac{2}{3\sqrt{2}}$

3. $1/2$

4. $\frac{1}{2\sqrt{2}}$

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The energy equivalent of 0.5 g of a substance is:

1.

2.

3.

4.

Subtopic:  Mass-Energy Equivalent |
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When a uranium isotope ${}_{92}{}^{235}U$  is bombarded with a neutron, it generates  ${}_{36}{}^{89}Kr,$ three neutrons and :

1. ${}_{40}{}^{91}Zr$

2. ${}_{36}{}^{101}Kr$

3. ${}_{36}{}^{103}Kr$

4. ${}_{56}{}^{144}Ba$

Subtopic:  Nuclear Energy |
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What happens to the mass number and the atomic number of an element when it emits $\gamma -$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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