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The nucleus \({ }_{6}^{12} \mathrm{C}\) absorbs an energetic neutron and emits \(\beta\text-\)particle. The resulting nucleus is:
1.
\({ }_{7}^{14} \mathrm{N}\)
2.
\({ }_{5}^{13} \mathrm{B}\)
3.
\({ }_{7}^{13} \mathrm{N}\)
4.
\({ }_{6}^{13} \mathrm{C}\)
Subtopic: Types of Decay |
65%
Level 2: 60%+
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Fusion reaction takes place at a higher temperature because:
| 1. | atoms get ionized at high temperatures. |
| 2. | kinetic energy is high enough to overcome the Coulomb repulsion between nuclei. |
| 3. | molecules break up at a high temperature. |
| 4. | nuclei break up at a high temperature. |
Subtopic: Nuclear Energy |
82%
Level 1: 80%+
NEET - 2011
Hints
Which of the following pairs of nuclei are isotones?
| 1. | \({}_{34}^{74}\mathrm{Se}, {}_{31}^{71}\mathrm{Ca}\) | 2. | \({}_{42}^{92}\mathrm{Mo}, {}_{40}^{92}\mathrm{Zr}\) |
| 3. | \({}_{38}^{81}\mathrm{Sr}, {}_{38}^{86}\mathrm{Sr}\) | 4. | \({}_{20}^{40}\mathrm{Ca}, {}_{16}^{32}\mathrm{S}\) |
Subtopic: Nuclear Binding Energy |
86%
Level 1: 80%+
Hints
After two alpha decays and four beta(-ve) decays, the atomic number:
| 1. | decreases by \(4\) and the mass number remains the same. |
| 2. | remains the same but the mass number increases by \(4.\) |
| 3. | remains the same but the mass number decreases by \(8.\) |
| 4. | increases but the mass number remains the same. |
Subtopic: Types of Decay |
85%
Level 1: 80%+
Hints
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. \(V\propto \frac{1}{M^3}\)
1. \(V\propto M\)
2. \(V\propto \frac{1}{M}\)
3. \(V\propto M^3\)
4. \(V\propto \frac{1}{M^3}\)
Subtopic: Nucleus |
79%
Level 2: 60%+
Hints
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. \(X\)
1. \(2X\)
2. \(\frac{X}{3}\)
3. \(4X\)
4. \(X\)
Subtopic: Nucleus |
83%
Level 1: 80%+
Hints
Choose the incorrect statements regarding binding energy per nucleon:
| 1. | Binding energy per nucleon is practically constant for nuclei with mass numbers between \(30\) and \(170\). |
| 2. | Binding energy per nucleon is maximum for \(_{56}\mathrm{Fe}\) (equal to \(8.75~\text{MeV}\)). |
| 3. | Binding energy per nucleon for \(_{6}\mathrm{Li}\) is lower compared to \(_{4}\mathrm{He}\). |
| 4. | Higher the binding energy per nucleon, the more unstable is the nucleus. |
Subtopic: Nuclear Binding Energy |
74%
Level 2: 60%+
Hints
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. \(E_b+ 3E_a=Q\)
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
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
Hints
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 |
70%
Level 2: 60%+
AIPMT - 2008
Hints
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