If an alpha nucleus of energy \(\frac{1}{2}mv^2\) bombards a heavy nuclear target of charge \(Ze\) then the distance of the 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 |
 82%
Level 1: 80%+
AIPMT - 2010
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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 |
 83%
Level 1: 80%+
AIPMT - 2009
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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 |
 56%
Level 3: 35%-60%
AIPMT - 2003
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