The power obtained in a reactor using \(\mathrm{U}^{235}\) disintegration is \(1000~\text{kW}\). The mass decay of \(\mathrm{U}^{235}\) per hour is approximately equal to:
1. \(20~\mu\text{g}\)
2. \(40~\mu\text{g}\)
3. \(1~\mu\text{g}\)
4. \(10~\mu\text{g}\)

Subtopic:  Mass-Energy Equivalent |
 67%
From NCERT
AIPMT - 2011
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The half-life of a radioactive element X is 50 yrs. It decays to another element Y which is stable. The two elements X and Y were found to be in the ratio of 1:15 in a sample of a given rock. The age of the rock was estimated to be:

1.  200 yr

2.  250 yr

3.  100 yr

4.  150 yr

Subtopic:  Radioactivity (OLD NCERT) |
 82%
From NCERT
AIPMT - 2011
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Fusion reaction takes place at high temperature because:
 
1. atoms get ionized at high temperature
2. kinetic energy is high enough to overcome the Coulomb repulsion between nuclei
3. molecules break up at high temperature
4. nuclei break up at high temperature

Subtopic:  Nuclear Energy |
 82%
From NCERT
AIPMT - 2011
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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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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 |
 73%
From NCERT
AIPMT - 2010
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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 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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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 |
 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. \(M(A, Z) = ZM_p + (A-Z)M_n- \dfrac{BE}{c^2}\)
2. \(M(A, Z) = ZM_p + (A-Z)M_n+ BE\)
3. \(M(A, Z) = ZM_p + (A-Z)M_n- BE\)
4. \(M(A, Z) = ZM_p + (A-Z)M_n+ \dfrac{BE}{c^2}\)
Subtopic:  Mass-Energy Equivalent |
 72%
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 |
 79%
From NCERT
AIPMT - 2008
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