\(\alpha\text{-}\)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:  Various Atomic Models |
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When an \(\alpha\text-\)particle of mass \(m\) moving with velocity \(v\) bombards on a heavy nucleus of charge \(Ze\), its distance of closest approach from the nucleus depends on \(m\) as:
1. \(\frac{1}{\sqrt{m}}\)
2. \(\frac{1}{m^{2}}\)
3. \(m\)
4. \( \frac{1}{m}\)
Subtopic:  Various Atomic Models |
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If an alpha nucleus of energy \(\frac{1}{2}mv^2\) bombards a heavy nuclear target of charge \(Ze\), then the distance of closest approach for the alpha nucleus will be proportional to:
1. \(\frac{1}{Ze} \) 2. \(v^2 \)
3. \(\frac{1}{m} \) 4. \(\frac{1}{v^4}\)
Subtopic:  Various Atomic Models |
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In a Rutherford scattering experiment, when a projectile of charge \(Z_1\) and mass \(M_1\) approaches a target nucleus of charge \(Z_2\) and mass \(M_2\), the distance of the closest approach is \(r_0\). The energy of the projectile is:
1. directly proportional to \(M_1M_2\).
2. directly proportional to \(Z_1Z_2\).
3. inversely proportional to \(Z_1\).
4. directly proportional to mass \(M_1\).
Subtopic:  Various Atomic Models |
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If the nucleus \({}_{13}^{27}\mathrm{Al}\) has a nuclear radius of about \(3.6\) fermis, then \({}_{52}^{125}\mathrm{Te}\) would have its radius approximately as:
1. \(6.0\) Fermi
2. \(9.6\) Fermi
3. \(12.0\) Fermi
4. \(4.8\) Fermi

Subtopic:  Various Atomic Models |
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The radius of Germanium \((\mathrm{Ge})\) nuclide is measured to be twice the radius of \({}_{4}^{9}\mathrm{Be}.\) The number of nucleons in \(\mathrm{Ge}\) is:
1. \(73\)
2. \(74\)
3. \(75\)
4. \(72\)

Subtopic:  Various Atomic Models |
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An electron is moving around the nucleus of a hydrogen atom in a circular orbit of radius \(r\). What is the coulomb force \(\vec {F}\) between the two? \(\left ( \text{where},K=\frac{1}{4\pi \epsilon _{0}} \right )\)
1. \(K \frac{e^{2}}{r^{2}} \hat{r}\)
2. \(- K \frac{e^{2}}{r^{3}} \hat{r}\)
3. \(K \frac{e^{2}}{r^{3}} \overset{\rightarrow}{r}\)
4. \(- K \frac{e^{2}}{r^{3}} \overset{\rightarrow}{r}\)
Subtopic:  Various Atomic Models |
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