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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 |
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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 |
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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. \(4\)
1. \(0.25\)
2. \(0.5\)
3. \(2\)
4. \(4\)
Subtopic: Bohr's Model of Atom |
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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 |
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From NCERT
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. \(\frac{1}{\sqrt{V}}\)
Subtopic: X-Ray (OLD NCERT) |
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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. \(1.59~ \mathring{A}\)
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 |
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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. \(3.4~\text{eV}\)
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 |
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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 |
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NEET - 2023
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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 |
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The wavelength of the first spectral line of the Lyman series of the hydrogen spectrum is:
1. \(1218\) Å
2. \(974.3\) Å
3. \(2124\) Å
4. \(2120\) Å
Subtopic: Spectral Series |
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