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Q. No.
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 |
83%
Level 1: 80%+
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In the diagram shown below, two atomic transitions are shown. If \(\lambda_1= 3000~\mathring{A}\) and \(\lambda_2= 6000~\mathring{A},\)
1. \(2000~\mathring{A}\)
2. \(4000~\mathring{A}\)
3. \(4500~\mathring{A}\)
4. \(9000~\mathring{A}\)
Subtopic: Spectral Series |
75%
Level 2: 60%+
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The ionisation potential of \(\mathrm{H\text-}\)atom is \(-13.6~\text{eV}\). Photons with an energy of \(12.85\) eV are incident on a sample of \(\mathrm{H}\text-\)atoms in their ground state. How many spectral lines are expected in emitted radiation?
1. \(2\)
2. \(6\)
3. \(4\)
4. \(1\)
1. \(2\)
2. \(6\)
3. \(4\)
4. \(1\)
Subtopic: Spectral Series |
73%
Level 2: 60%+
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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 |
65%
Level 2: 60%+
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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 |
55%
Level 3: 35%-60%
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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 |
77%
Level 2: 60%+
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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 |
62%
Level 2: 60%+
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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 |
80%
Level 1: 80%+
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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 |
79%
Level 2: 60%+
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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 |
54%
Level 3: 35%-60%
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