# 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: Â Nucleus |
Â 78%
From NCERT
AIPMT - 2008
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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: Â Nuclear Binding Energy |
Â 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 $$M(A, Z) = ZM_p + (A-Z)M_n- \dfrac{BE}{c^2}$$ 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: Â Mass-Energy Equivalent |
Â 71%
From NCERT
AIPMT - 2008
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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: Â Nuclear Binding Energy |
Â 72%
From NCERT
AIPMT - 2010
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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: Â Mass-Energy Equivalent |
From NCERT
AIPMT - 2013
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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: Â Nuclear Binding Energy |
Â 65%
From NCERT
AIPMT - 2014
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The energy equivalent of $$0.5$$ g of a substance is:
1. $$4.5\times10^{13}$$ J
2. $$1.5\times10^{13}$$ J
3. $$0.5\times10^{13}$$ J
4. $$4.5\times10^{16}$$ J

Subtopic: Â Mass-Energy Equivalent |
Â 62%
From NCERT
NEET - 2020
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The gravitational force between $$H\text-$$atom and another particle of mass $$m$$ will be given by Newton's law $$F=\dfrac{GMm}{r^2},$$ where $$r$$ is in km and
 1 $$M = m_{\text{proton}}+ m_{\text{electron}}.$$ 2 $$M = m_{\text{proton}}+ m_{\text{electron}}-\frac{B}{c^2}\left(B= 13.6~\text{eV}\right)$$. 3 $$M$$ is not related to the mass of the hydrogen atom. 4 $$M = m_{\text{proton}}+ m_{\text{electron}}-\frac{|V|}{c^2}(|V|=$$ magnitude of the potential energy of electron in the $$H\text-$$atom).
Subtopic: Â Nuclear Binding Energy |
Â 64%
From NCERT
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When a nucleus in an atom undergoes a radioactive decay, the electronic energy levels of the atom:
 1 do not change for any type of radioactivity 2 change for $$\alpha$$ and $$\beta\text-$$radioactivity but not for $$\gamma\text-$$radioactivity 3 change for $$\alpha\text-$$radioactivity but not for others 4 change for $$\beta\text-$$radioactivity but not for others
Subtopic: Â Types of Decay |
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From NCERT
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Tritium is an isotope of hydrogen whose nucleus triton contains $$2$$ neutrons and $$1$$ proton. Free neutrons decay into$$p+e^{-1}+\nu^{-1}.$$ If one of the neutrons in Triton decays, it would transform into $$\mathrm{He}^{3}$$ nucleus. This does not happen. This is because:
 1 triton energy is less than that of a $$\mathrm{He}^{3}$$ nucleus. 2 the electron created in the beta decay process cannot remain in the nucleus. 3 both the neutrons in Triton have to decay simultaneously resulting in a nucleus with $$3$$ protons, which is not a $$\mathrm{He}^{3}$$ nucleus. 4 free neutrons decay due to external perturbations which is absent in Triton nucleus.
Subtopic: Â Types of Decay |
From NCERT
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