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Q. No.Let \(T_1\) and \(T_2\) be the energy of an electron in the first and second excited states of the hydrogen atom, respectively. According to Bohr's model of an atom, the ratio \(T_1:T_2\) is:
1.
\(9:4\)
2.
\(1:4\)
3.
\(4:1\)
4.
\(4:9\)
Subtopic: Bohr's Model of Atom |
67%
Level 2: 60%+
NEET - 2022
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Let \(L_1\) and \(L_2\) be the orbital angular momentum of an electron in the first and second excited states of the hydrogen atom, respectively. According to Bohr's model, the ratio \(L_1:L_2\) is:
| 1. | \(1:2\) | 2. | \(2:1\) |
| 3. | \(3:2\) | 4. | \(2:3\) |
Subtopic: Bohr's Model of Atom |
78%
Level 2: 60%+
NEET - 2022
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Let \(R_1\) be the radius of the second stationary orbit and \(R_2\) be the radius of the fourth stationary orbit of an electron in Bohr's model. The ratio of \(\dfrac{R_1}{R_2}\) is:
| 1. | \(0.25\) | 2. | \(0.5\) |
| 3. | \(2\) | 4. | \(4\) |
Subtopic: Bohr's Model of Atom |
80%
Level 1: 80%+
NEET - 2022
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In hydrogen spectrum, the shortest wavelength in the Balmer series is \(\lambda\). The shortest wavelength in the Bracket series is:
1. \(16\lambda\)
2. \(2\lambda\)
3. \(4\lambda\)
4. \(9\lambda\)
1. \(16\lambda\)
2. \(2\lambda\)
3. \(4\lambda\)
4. \(9\lambda\)
Subtopic: Spectral Series |
65%
Level 2: 60%+
NEET - 2023
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The minimum wavelength of X-rays produced by an electron accelerated through a potential difference of \(V\) volts is proportional to:
1. \(V^2\)
2. \(\sqrt{V}\)
3. \(1/V\)
4. \(\frac{1}{\sqrt{V}}\)
1. \(V^2\)
2. \(\sqrt{V}\)
3. \(1/V\)
4. \(\frac{1}{\sqrt{V}}\)
Level 3: 35%-60%
NEET - 2023
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The radius of innermost orbit of a hydrogen atom is \(5.3 \times 10^{-11}~\text m.\) What is the radius of the third allowed orbit of a hydrogen atom?
| 1. | \(4.77~ \mathring{A}\) | 2. | \(0.53~ \mathring{A}\) |
| 3. | \(1.06~ \mathring{A}\) | 4. | \(1.59~ \mathring{A}\) |
Subtopic: Bohr's Model of Atom |
75%
Level 2: 60%+
NEET - 2023
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The ground state energy of a hydrogen atom is \(-13.6~\text{eV}.\) The energy needed to ionize the hydrogen atom from its second excited state will be:
| 1. | \(13.6~\text{eV}\) | 2. | \(6.8~\text{eV}\) |
| 3. | \(1.51~\text{eV}\) | 4. | \(3.4~\text{eV}\) |
Subtopic: Bohr's Model of Atom |
64%
Level 2: 60%+
NEET - 2023
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The wavelength of the Lyman series of hydrogen atom appears in:
| 1. | visible region |
| 2. | far infrared region |
| 3. | ultraviolet region |
| 4. | infrared region |
Subtopic: Spectral Series |
81%
Level 1: 80%+
NEET - 2023
Hints
The angular momentum of an electron moving in an orbit of a hydrogen atom is \(1.5\left(\frac h\pi\right).\) The energy in the same orbit is nearly:
| 1. | \(-1.5~\text{eV}\) | 2. | \(-1.6~\text{eV}\) |
| 3. | \(-1.3~\text{eV}\) | 4. | \(-1.4~\text{eV}\) |
Subtopic: Bohr's Model of Atom |
82%
Level 1: 80%+
NEET - 2023
Hints
The wavelength of the first spectral line of the Lyman series of the hydrogen spectrum is:
1. \(1218~\mathring A\)
2. \(974.3~\mathring A\)
3. \(2124~\mathring A\)
4. \(2120~\mathring A\)
Subtopic: Spectral Series |
70%
Level 2: 60%+
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