In the nuclear decay given below:
\({ }_{\mathrm{Z}}^{\mathrm{A}} \mathrm{X} \rightarrow { }_{\mathrm{Z}+1}^{\mathrm{A}} \mathrm{Y}\rightarrow { }_{\mathrm{Z-1}}^{\mathrm{A-4}} \mathrm{B}\rightarrow { }_{\mathrm{Z-1}}^{\mathrm{A-4}} \mathrm{B}\)
the particles emitted in the sequence are:
1. \(\beta, \alpha, \gamma\)
2. \( \gamma, \beta, \alpha\)
3. \(\beta, \gamma,\alpha\)
4. \(\alpha,\beta, \gamma\)

Subtopic:  Types of Decay |
 89%
From NCERT
AIPMT - 2009
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If \(M(A,~Z)\)\(M_p\), and \(M_n\) denote the masses of the nucleus \(^{A}_{Z}X,\) proton, and neutron respectively in units of \(u\) (\(1~u=931.5~\text{MeV/c}^2\)) and represent its binding energy \((BE)\) in \(\text{MeV}\). Then:

1. \(M(A, Z) = ZM_p + (A-Z)M_n- \frac{BE}{c^2}\)
2. \(M(A, Z) = ZM_p + (A-Z)M_n+ BE\)
3. \(M(A, Z) = ZM_p + (A-Z)M_n- BE\)
4. \(M(A, Z) = ZM_p + (A-Z)M_n+ \frac{BE}{c^2}\)
Subtopic:  Mass-Energy Equivalent |
 71%
From NCERT
AIPMT - 2008
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Two nuclei have their mass numbers in the ratio of \(1:3.\) The ratio of their nuclear densities would be:
1. \(1:3\)
2. \(3:1\)
3. \((3)^{1/3}:1\)
4. \(1:1\)

Subtopic:  Nucleus |
 78%
From NCERT
AIPMT - 2008
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In the radioactive decay process, the negatively charged emitted β-particles are:

1. the electrons present inside the nucleus
2. the electrons produced as a result of the decay
of neutrons inside the nucleus
3. the electrons produced as a result of collisions
between atoms
4. the electrons orbiting around the nucleus

Subtopic:  Types of Decay |
 79%
From NCERT
AIPMT - 2007
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If the nuclear radius of \(^{27}\text{Al}\) is \(3.6\) Fermi, the approximate nuclear radius of \(^{64}\text{Cu}\) in Fermi is:
1. \(2.4\)
2. \(1.2\)
3. \(4.8\)
4. \(3.6\)

Subtopic:  Nucleus |
 88%
From NCERT
AIPMT - 2012
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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
Subtopic:  Radioactivity (OLD NCERT) |
 83%
From NCERT
AIPMT - 2013
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If the radius of \(_{13}^{27}\mathrm{Al}\) nucleus is taken to be \(\mathrm{R}_{\mathrm{Al}},\) then the radius of \(_{53}^{125}\mathrm{Te}\) nucleus is near:
1. \(\left(\frac{53}{13}\right) ^{\frac{1}{3}}~\mathrm{R_{Al}}\)
2. \(\frac{5}{3}~\mathrm{R_{Al}}\)
3. \(\frac{3}{5}~\mathrm{R_{Al}}\)
4. \(\left(\frac{13}{53}\right)~\mathrm{R_{Al}}\)

Subtopic:  Nucleus |
 76%
From NCERT
NEET - 2015
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For radioactive material, the half-life is \(10\) minutes. If initially, there are \(600\) number of nuclei, the time taken (in minutes) for the disintegration of \(450\) nuclei is :
1. \(20\)
2. \(10\)
3. \(30\)
4. \(15\)

Subtopic:  Radioactivity (OLD NCERT) |
 71%
From NCERT
NEET - 2018
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Binding energy per nucleon plot against the mass number for stable nuclei is shown in the figure. Which curve is correct ?

1. A
2. B
3. C
4. D

Subtopic:  Nuclear Binding Energy |
 72%
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The dependence of binding energy per nucleon, BN on the mass number, A, is represented by

Subtopic:  Nuclear Binding Energy |
 74%
From NCERT
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