\({ }_{82}^{290} X \xrightarrow{\alpha} Y \xrightarrow{e^{+}} Z \xrightarrow{\beta^{-}} P \xrightarrow{e^{-}} Q\)
In the nuclear emission stated above, the mass number and atomic number of the product \(Q\) respectively, are:
1. \(286,80\)
2. \(288,82\)
3. \(286,81\)
4. \(280,81\)
Subtopic:  Types of Decay |
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The ratio of nuclear densities and nuclear volumes of \(^{56}_{26}\mathrm{Fe}\) and \(^{4}_{2}\mathrm{He}\) are, respectively:
1. \(13:1\) and \(14:1\)
2. \(14:1\) and \(1:1\)
3. \(1:1\) and \(14:1\)
4. \(1:1\) and \(13:1\)
Subtopic:  Nucleus |
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An excited heavy nucleus \(^A_Z \mathrm{X}\) emits radiations in the following sequence:
\(^A_Z \mathrm{X}\rightarrow ^{A-4}_{Z-2}\mathrm{D_1}\rightarrow ^{A-4}_{Z-1}\mathrm{D_2}\rightarrow ^{A-8}_{Z-3}\mathrm{D_3}\rightarrow ^{A-8}_{Z-4}\mathrm{D_4}\rightarrow ^{A-8}_{Z-4}\mathrm{D_5}\)
where \(Z,A\) are the atomic and mass number of element \(\mathrm{X},\) respectively. The possible emitted particles or radiations in the sequence, respectively are: 
1. \(e^+, \alpha, e^-, \alpha , \gamma \)
2. \(e^-, \alpha, e^+, \alpha , \gamma \)
3. \(\alpha ,e^-, \alpha, e^+, \gamma \)
4. \(\alpha ,e^+, \alpha, e^-, \gamma \)
Subtopic:  Types of Decay |
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Water is used as a coolant in a nuclear reactor because of its:
1. high thermal expansion coefficient
2. high specific heat capacity
3. low density
4. low boiling point
Subtopic:  Nuclear Binding Energy |
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Select the correct statements among the following:
A. slow neutrons can cause fission in \(U_{92}^{235}\) than fast neutrons.
B. \(\text{α-rays}\) are helium nuclei.
C. \(\text{β-rays}\) are fast-moving electrons or positrons.
D. \(\gamma\text-\text{rays}\) are electromagnetic radiations of wavelengths larger than \(X\text-\)rays.
Choose the most appropriate answer from the options given below:
1. A, B, and C only
2. A, B, and D only
3. A and B only
4. C and D only
Subtopic:  Nuclear Binding Energy |
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In the given nuclear reaction, the element \(\mathrm{X}\) 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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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. \(9.4~\text{MeV}\)

Subtopic:  Nuclear Binding Energy |
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A radioactive nucleus \(_{\mathrm{Z}}^{\mathrm{A}}\mathrm{X}\) undergoes spontaneous decay in the sequence \(_{\mathrm{Z}}^{\mathrm{A}}\mathrm{X}\rightarrow \mathrm{B}_{\mathrm{Z-1}}\rightarrow \mathrm{C}_{\mathrm{Z-3}}\rightarrow \mathrm{D}_{\mathrm{Z-2}}\) where \(\mathrm{Z}\) is the atomic number of element \(\mathrm{X}\). The possible decay particles in the sequence are: 
1. \(\beta^{+}, ~\alpha, ~\beta^{-}\) 2. \(\beta^{-}, ~\alpha, ~\beta^{+}\)
3. \(\alpha, ~\beta^{-},~\beta^{+}\) 4. \(\alpha, ~\beta^{+},~\beta^{-}\)
Subtopic:  Types of Decay |
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The energy equivalent of \(0.5\) g of a substance is:
1. \(4.5\times10^{13}\) J
2. \(1.5\times10^{13}\) J
3. \(0.5\times10^{13}\) J
4. \(4.5\times10^{16}\) J

Subtopic:  Mass-Energy Equivalent |
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