The Rutherford $\mathrm{\alpha}$-particle experiment shows that most of the $\mathrm{\alpha}$-particles pass through almost unscattered while some are scattered through large angles. What information does it give about the structure of the atom?

1. | Atom is hollow. |

2. | The whole mass of the atom is concentrated in a small center called the nucleus. |

3. | Nucleus is positively charged. |

4. | All of the above |

Subtopic: Various Atomic Models |

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When an α– particle of mass m moving with velocity v bombards a heavy nucleus of charge Ze, its distance of closest approach from the nucleus depends on m as:

1. $\frac{1}{\sqrt{\mathrm{m}}}$

2. $\frac{1}{{\mathrm{m}}^{2}}$

3. m

4. $\frac{1}{\mathrm{m}}$

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 closest approach is ${r}_{0}$. What is the energy of the projectile?

1. directly proportional to ${M}_{1}\times {M}_{2}$

2. directly proportional to ${Z}_{1}{Z}_{2}$

3. inversely proportional to ${Z}_{1}$

4. directly proportional to mass ${M}_{1}$

Subtopic: Various Atomic Models |

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If an alpha nucleus of energy $\frac{1}{2}m{v}^{2}$ 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 an $\alpha $-particle scattering experiment, the number of particles scattered per minute in a direction perpendicular to the direction of incident particles is 40. What will be the number of particles scattered at an angle of 60° per minute?

1. 145

2. 160

3. 172

4. 157

72%

Subtopic: Various Atomic Models |

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What was Rutherford's atom according to classical theory?

1. electrostatically stable.

2. electrodynamically unstable.

3. semi-stable.

4. stable.

Subtopic: Various Atomic Models |

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A beam of fast moving alpha particles were directed towards a thin film of gold. The parts A', B', and C' of the transmitted and reflected beams corresponding to the incident parts A, B and C of the beam, are shown in the adjoining diagram. The number of alpha particles in:

1. B' will be minimum and in C' maximum

2. A' will be maximum and in B' minimum

3. A' will be minimum and in B' maximum

4. C' will be minimum and in B' maximum

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 $\overrightarrow{\mathrm{F}}$ between the two?

\(\left ( \text{where},K=\frac{1}{4\pi \epsilon _{0}} \right )\)

1. $\mathrm{K}\frac{{\mathrm{e}}^{2}}{{\mathrm{r}}^{2}}\hat{\mathrm{r}}$

2. $-\mathrm{K}\frac{{\mathrm{e}}^{2}}{{\mathrm{r}}^{3}}\hat{\mathrm{r}}$

3. $\mathrm{K}\frac{{\mathrm{e}}^{2}}{{\mathrm{r}}^{3}}\overrightarrow{\mathrm{r}}$

4. $-\mathrm{K}\frac{{\mathrm{e}}^{2}}{{\mathrm{r}}^{3}}\overrightarrow{\mathrm{r}}$

Subtopic: Various Atomic Models |

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Whose atomic model describes electrons being embedded in a gel of positive charge?

1. Dalton's model

2. Bohr's model

3. Thomson's model

4. Rutherford's model

Subtopic: Various Atomic Models |

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In Bohr's model if the atomic radius of the first orbit is r_{0}, then what will be the radius of the third orbit?

1. $\frac{{\mathrm{r}}_{0}}{9}$

2. ${\mathrm{r}}_{0}$

3. $9{\mathrm{r}}_{0}$

4. $3{\mathrm{r}}_{0}$

Subtopic: Bohr's Model of Atom |

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