\(\alpha\text-\)particle consists of:
1.  \(2\) protons only
2. \(2\) protons and \(2\) neutrons only
3. \(2\) electrons, \(2\) protons, and \(2\) neutrons
4. \(2\) electrons and \(4\) protons only

Subtopic:  Types of Decay |
 75%
Level 2: 60%+
NEET - 2019
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The energy equivalent of \(0.5~\text g\) of a substance is:
1. \(4.5\times10^{13}~\text J\) 2. \(1.5\times10^{13}~\text J\)
3. \(0.5\times10^{13}~\text J\) 4. \(4.5\times10^{16}~\text J\)
Subtopic:  Mass-Energy Equivalent |
 65%
Level 2: 60%+
NEET - 2020
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The binding energy of deuteron is \(2.2\) MeV and that of \({}_{2}^{4}\mathrm{He}\) is \(28\) MeV. If two deuterons are fused to form one \({}_{2}^{4}\mathrm{He}\) then the energy released is:
1. \(25.8\) MeV 2. \(23.6\) MeV
3. \(19.2\) MeV 4. \(30.2\) MeV
Subtopic:  Nuclear Binding Energy |
 84%
Level 1: 80%+
AIPMT - 2006
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If \(M(A,Z)\)\(M_p\) and \(M_n\) denote the masses of the nucleus \({}_{Z}^{A}\mathrm{X}\), proton, and neutron respectively in units of u (\(1\) u = \(931.5\) MeV/c2) and \(BE\) represents its binding energy in MeV, then:
1. \(M(A, Z)=ZM_p+(A-Z) M_n-B E / c^2\)
2. \({M}({A}, {Z})={ZM}_{p}+({A}-{Z}) {M}_{n}+{BE}\)
3. \(M(A, Z)=ZM_p+(A-Z) M_n-B E\)
4. \({M}({A}, {Z})={ZM}_{p}+({A}-{Z}) {M}_{n}+{BE/c}^2 \)
Subtopic:  Nuclear Binding Energy |
 72%
Level 2: 60%+
AIPMT - 2008
Hints

In the nuclear decay given below:
\({ }_Z^A \mathrm X \rightarrow{ }_{Z+1}^A \mathrm Y \rightarrow{ }_{Z-1}^{A-4} \mathrm B \rightarrow{ }_{Z-1}^{A-4} \mathrm B\)
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%
Level 1: 80%+
AIPMT - 2009
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The mass of a \({}_{3}^{7}\mathrm{Li}\) nucleus is \(0.042\) 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. \(4.6\) MeV
2. \(5.6\) MeV
3. \(3.9\) MeV
4. \(23\) MeV

Subtopic:  Nuclear Binding Energy |
 73%
Level 2: 60%+
AIPMT - 2010
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The binding energies of the nuclei \(A\) and \(B\) are \(E_a\) and \(E_b\) respectively. If three atoms of the element \(B\) fuse to give one atom of element \(A\) and an energy \(Q\) is released, then \(E_a, E_b\) and \(Q\) are related as:
1. \(E_a-3E_b= Q\)
2. \(3E_b-E_a= Q\)
3. \(E_a+ 3E_b=Q\)
4. \(E_b+ 3E_a=Q\)

Subtopic:  Nuclear Binding Energy |
 70%
Level 2: 60%+
Hints

What happens to the mass number and the atomic number of an element when it emits \(\gamma\text{-}\)radiation?

1. mass number decreases by four and atomic number decreases by two.
2. mass number and atomic number remain unchanged.
3. mass number remains unchanged while the atomic number decreases by one.
4. mass number increases by four and the atomic number increases by two.
Subtopic:  Types of Decay |
 84%
Level 1: 80%+
NEET - 2020
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If the density of the gold nucleus is \(X,\) then the density of the silver nucleus will be:
1. \(2X\)
2. \(\frac{X}{3}\)
3. \(4X\)
4. \(X\)

Subtopic:  Nucleus |
 83%
Level 1: 80%+
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The volume \((V)\) of a nucleus is related to its mass \((M)\) as:
1. \(V\propto M\)
2. \(V\propto \frac{1}{M}\)
3. \(V\propto M^3\)
4. \(V\propto \frac{1}{M^3}\)

Subtopic:  Nucleus |
 80%
Level 1: 80%+
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