The ratio of nuclear densities and nuclear volumes of \(^{56}_{26}Fe\) and \(^{4}_{2}He\) 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 |
 77%
Level 2: 60%+
NEET - 2024
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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 |
 83%
Level 1: 80%+
NEET - 2022
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The energy equivalent of \(0.5~\text g\) of a substance is:
1. \(4.5\times10^{13}~\text J\) 2. \(1.5\times10^{13}~\text J\)
3. \(0.5\times10^{13}~\text J\) 4. \(4.5\times10^{16}~\text J\)
Subtopic:  Mass-Energy Equivalent |
 65%
Level 2: 60%+
NEET - 2020
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A certain mass of hydrogen is changed to Helium by the process of fusion. The mass defect in the fusion reaction is \(0.02866~\text{u}.\)The energy liberated per nucleon is:
(given \(1~\mathrm{u} = 931~\text{MeV}\) )
1. \(26.7~\text{MeV}\)
2. \(6.675~\text{MeV}\)
3. \(13.35~\text{MeV}\)
4. \(2.67~\text{MeV}\)
Subtopic:  Mass-Energy Equivalent |
Level 3: 35%-60%
AIPMT - 2013
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Select the correct statements among the following:
A. slow neutrons can cause fission in \(\mathrm U_{92}^{235}\) 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 Energy |
 68%
Level 2: 60%+
NEET - 2024
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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 |
 69%
Level 2: 60%+
NEET - 2024
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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 |
 66%
Level 2: 60%+
NEET - 2021
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If the radius of \(_{13}^{27}\mathrm{Al}\) nucleus is taken to be \({R}_{\mathrm{Al}},\) then the radius of \(_{53}^{125}\mathrm{Te}\) nucleus is near:

1. \(\left(\frac{53}{13}\right) ^{\frac{1}{3}}~{R_{Al}}\) 2. \(\frac{5}{3}~{R_{Al}}\)
3. \(\frac{3}{5}~{R_{Al}}\) 4. \(\left(\frac{13}{53}\right)~{R_{Al}}\)
Subtopic:  Nucleus |
 81%
Level 1: 80%+
NEET - 2015
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The Binding energy per nucleon of \(^{7}_{3}\mathrm{Li}\) and \(^{4}_{2}\mathrm{He}\) nucleon are \(5.60~\text{MeV}\) and \(7.06~\text{MeV}\), respectively. In the nuclear reaction \(^{7}_{3}\mathrm{Li} + ^{1}_{1}\mathrm{H} \rightarrow ^{4}_{2}\mathrm{He} + ^{4}_{2}\mathrm{He} +Q\), the value of energy \(Q\) released is:

1. \(19.6~\text{MeV}\) 2. \(-2.4~\text{MeV}\)
3. \(8.4~\text{MeV}\) 4. \(17.3~\text{MeV}\)
Subtopic:  Nuclear Binding Energy |
 68%
Level 2: 60%+
AIPMT - 2014
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How does the binding energy per nucleon vary with the increase in the number of nucleons?
1.  decrease continuously with mass number.
2. first decreases and then increases with an increase in mass number.
3. first increases and then decreases with an increase in mass number.
4. increases continuously with mass number.
Subtopic:  Nuclear Binding Energy |
 81%
Level 1: 80%+
NEET - 2013
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