# 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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A nucleus ${}_{Z}{X}^{A}$ 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. $BE=\left[M\left(A,Z\right)-Z{M}_{p}-\left(A-Z\right){M}_{n}\right]{c}^{2}$

2. $BE=\left[Z{M}_{p}+\left(A-Z\right){M}_{n}-M\left(A,$ $Z\right)\right]{c}^{2}$

3. $BE=\left[Z{M}_{p}+A{M}_{n}-M-\left(A,$ $Z\right)\right]{c}^{2}$

4. $BE=M\left(A,$ $Z\right)-Z{M}_{p}-\left(A-Z\right){M}_{n}$

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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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 ${}_{3}{}^{7}\mathrm{Li}$ nucleus is $$0.042~\text{u}$$ less than the sum of the masses of all its nucleons. The binding energy per nucleon of the ${}_{3}{}^{7}\mathrm{Li}$ 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 $\mathrm{}$$$\alpha\text -\text{particle}$$ 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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