The Rutherford α-particle experiment shows that most of the α-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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In a Rutherford scattering experiment when a projectile of charge Z1 and mass M1 approaches a target nucleus of charge Z2 and mass M2, the distance of closest approach is r0. What is the energy of the projectile?

1. Directly proportional to \(M_1 \times M_2\)
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 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 an \(\alpha\text-\)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 \(60^{\circ}\) per minute?
1. \(145\) 2. \(160\)
3. \(172\) 4. \(157\)
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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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. \(\dfrac{r_0}{9}\) 2. \(r_0\)
3. \(9r_0\) 4. \(3r_0\)
Subtopic:  Bohr's Model of Atom |
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What is the ratio of the speed of an electron in the first orbit of an \(\mathrm{H}\text-\)atom to the speed of light?

1. \(\dfrac{1}{137}\) 2. \(137\)
3. \(\dfrac{1}{83}\) 4. \(\dfrac{1}{47}\)
Subtopic:  Bohr's Model of Atom |
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The total energy of an electron in the first excited state of a hydrogen atom is about \(-3.4\) eV. Its kinetic energy in this state will be:
1. \(-6.8~\text{eV}\)
2. \(3.4~\text{eV}\)
3. \(6.8~\text{eV}\)
4. \(-3.4~\text{eV}\)

Subtopic:  Bohr's Model of Atom |
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In the \(n^{th}\) orbit, the energy of an electron is \(E_{n}=-\frac{13.6}{n^2} ~\text{eV}\) for the hydrogen atom. What will be the energy required to take the electron from the first orbit to the second orbit?
1. \(10.2~\text{eV}\)
2. \(12.1~\text{eV}\)
3. \(13.6~\text{eV}\)
4. \(3.4~\text{eV}\)

Subtopic:  Bohr's Model of Atom |
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If an electron in a hydrogen atom jumps from the \(3\)rd orbit to the \(2\)nd orbit, it emits a photon of wavelength \(\lambda\). What will be the corresponding wavelength of the photon when it jumps from the \(4^{th}\) orbit to the \(3\)rd orbit?

1. \(\dfrac{16}{25} \lambda\) 2. \(\dfrac{9}{16} \lambda\)
3. \(\dfrac{20}{7} \lambda\) 4. \(\dfrac{20}{13} \lambda\)
Subtopic:  Bohr's Model of Atom |
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