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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A nucleus ZXA has a mass represented by \(M(A, Z).\) If \(M_P\) and \(M_n\) denote the mass of proton and neutron respectively and BE the binding energy, then:

1. BE=[M(A,Z)-ZMp-(A-Z)Mn]c2

2. BE=[ZMp+(A-Z)Mn-M(A, Z)]c2

3. BE=[ZMp+AMn-M-(A, Z)]c2

4. BE=M(A, Z)-ZMp-(A-Z)Mn

Subtopic:  Nuclear Binding Energy |
 82%
From NCERT
AIPMT - 2007
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The binding energy of deuteron is \(2.2~\text{MeV}\) and that of \(_2\mathrm{He}^{4}\) is \(28~\text{MeV}\). If two deuterons are fused to form one \(_{2}\mathrm{He}^{4}\)then the energy released is:
1. \(25.8~\text{MeV}\)
2. \(23.6~\text{MeV}\)
3. \(19.2~\text{MeV}\)
4. \(30.2~\text{MeV}\)

Subtopic:  Nuclear Binding Energy |
 73%
From NCERT
AIPMT - 2006
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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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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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The decay constants of two radioactive materials X1 and X2 are \(5\lambda\) and \(\lambda\) respectively. Initially, they have the same number of nuclei.  The ratio of the number of nuclei of X1 to that of X2  will be \(1/e\) after a time:
1. \(\lambda\)

2. \(\frac{1}{2\lambda }\)

3. \(\frac{1}{4\lambda }\)

4. \(\frac{e}{\lambda }\)

Subtopic:  Types of Decay |
 79%
From NCERT
AIPMT - 2008
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The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an:
1. Isobar of a parent.
2. Isomer of a parent.
3. Isotone of a parent.
4. Isotope of a parent.

Subtopic:  Types of Decay |
 65%
From NCERT
AIPMT - 2009
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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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The mass of a Li37 nucleus is \(0.042~\text{u}\) less than the sum of the masses of all its nucleons. The binding energy per nucleon of the Li37 nucleus is near:
1. \(4.6~\text{MeV}\)
2. \(5.6~\text{MeV}\)
3. \(3.9~\text{MeV}\)
4. \(23~\text{MeV}\)

Subtopic:  Nuclear Binding Energy |
 72%
From NCERT
AIPMT - 2010
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A nucleus \({ }_{{n}}^{{m}} \mathrm{X}\) emits one \(\alpha\text -\text{particle}\) and two \(\beta\text- \text{particle}\) The resulting nucleus is:
1. \(^{m-}{}_n^6 \mathrm{Z} \)
2. \(^{m-}{}_{n}^{4} \mathrm{X} \)
3. \(^{m-4}_{n-2} \mathrm{Y}\)
4. \(^{m-6}_{n-4} \mathrm{Z} \)

Subtopic:  Types of Decay |
 81%
From NCERT
AIPMT - 2011
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