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Q. No.Let \(R\) represent the orbital radius of an electron moving in an orbit and \(K\) represent its kinetic energy. Then the quantity \(KR\) varies with principal quantum number \(n\) as:
1.
2.
3.
4.
Subtopic: Bohr's Model of Atom |
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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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The de-Broglie wavelength of an electron in the second orbit of a hydrogen atom is equal to:
| 1. | The perimeter of the orbit. |
| 2. | The half of the perimeter of the orbit. |
| 3. | The half of the diameter of the orbit. |
| 4. | The diameter of the orbit. |
Subtopic: Bohr's Model of Atom |
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Which other physical quantity, like angular momentum, is quantized in Bohr's model of a hydrogen atom?
1. Kinetic energy
2. Magnetic moment
3. Potential energy
4. Mechanical energy
Subtopic: Bohr's Model of Atom |
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In an atom, if the transition from \(n = 4\) to \(n=3\) gives ultraviolet radiation, then to obtain infrared radiation, the transition should be:
| 1. | \(5\rightarrow 4\) | 2. | \(3\rightarrow 2\) |
| 3. | \(2\rightarrow 1\) | 4. | \(3\rightarrow 1\) |
Subtopic: Spectral Series |
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\(E_1, E_2\) and \(E_3\) are energies of an electron in three consecutive energy levels of a hydrogen-like atom, such that \(E_1<E_2<E_3\). The wavelength emitted in the transition from \(E_3\) to \(E_2\) is \(\lambda_2\) and the wavelength emitted in the transition from \(E_2\) to \(E_1\) is \(\lambda_1\). The wavelength emitted in transition from \(E_3\) to \(E_1\) is:
| 1. | \(\frac{\lambda_1\lambda_2}{\lambda_1-\lambda_2}\) | 2. | \(\frac{\lambda_1+\lambda_2}{2}\) |
| 3. | \(\sqrt{\lambda^2_1+\lambda^2_2}\) | 4. | \(\frac{\lambda_1\lambda_2}{\lambda_1+\lambda_2}\) |
Subtopic: Spectral Series |
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In the Bohr model of the hydrogen atom, the force on the electron depends on the principal quantum number "\(n\)" as:
| 1. | \(F \propto \frac{1}{n^3}\) |
| 2. | \(F \propto \frac{1}{n^4}\) |
| 3. | \(F \propto \frac{1}{n^5}\) |
| 4. | It does not depend on \(n\). |
Subtopic: Bohr's Model of Atom |
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If the wavelength of the first line in the Balmer Series of the hydrogen spectrum is \(\lambda,\) then what is the wavelength of the second line in this series?
1. \(\frac{20}{27}\lambda\)
2. \(\frac{27}{20}\lambda\)
3. \(\frac{25}{27}\lambda\)
4. \(\frac{27}{25}\lambda\)
1. \(\frac{20}{27}\lambda\)
2. \(\frac{27}{20}\lambda\)
3. \(\frac{25}{27}\lambda\)
4. \(\frac{27}{25}\lambda\)
Subtopic: Spectral Series |
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What happens when an electron in a hydrogen-like atom jumps from a lower energy level to a higher energy level?
| 1. | kinetic energy increases. |
| 2. | angular momentum decreases. |
| 3. | de-Broglie wavelength associated with electron increases. |
| 4. | angular momentum remains constant. |
Subtopic: Bohr's Model of Atom |
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Let \(f_1\) be the maximum frequency of the Lyman series, \(f_2\) be the frequency of the first line of the Lyman series, and \(f_3\) be the frequency of the series limit of the Balmer series, then which of the following is correct?
1. \(f_1-f_2=f_3\)
2. \(f_2-f_1=f_3\)
3. \(f_1+f_2=f_3\)
4. \(2f_1 = f_2 + f_3\)
1. \(f_1-f_2=f_3\)
2. \(f_2-f_1=f_3\)
3. \(f_1+f_2=f_3\)
4. \(2f_1 = f_2 + f_3\)
Subtopic: Spectral Series |
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