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Q. No.The minimum orbital angular momentum of the electron in a hydrogen atom is:
1. \(h\)
2. \(h/2\)
3. \(h/2\pi\)
4. \(h/ \lambda\)
1. \(h\)
2. \(h/2\)
3. \(h/2\pi\)
4. \(h/ \lambda\)
Subtopic: Â Bohr's Model of Atom |
 91%
Level 1: 80%+
Hints
Which of the following transitions will the wavelength be minimum?
1. \(n=5~\text{to}~n=4\)
2. \(n=4~\text{to}~n=3\)
3. \(n=3~\text{to}~n=2\)
4. \(n=2~\text{to}~n=1\)
Subtopic: Â Spectral Series |
 78%
Level 2: 60%+
Hints
In which of the following systems will the wavelength corresponding to \(n=2\) to \(n=1\) be minimum?
| 1. | hydrogen atom |
| 2. | deuterium atom |
| 3. | singly ionized helium |
| 4. | doubly ionized lithium |
Subtopic: Â Spectral Series |
 72%
Level 2: 60%+
Hints
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The zero of the potential energy is so chosen that the total energy of the hydrogen atom in its \(1^{\text{st}}\) excited state is zero. Then, the energy of the ground state of the hydrogen atom is:
1. \(-3.4~\text{eV}\)
2. \(-6.8~\text{eV}\)
3. \(-10.2~\text{eV}\)
4. \(-13.6~\text{eV}\)
1. \(-3.4~\text{eV}\)
2. \(-6.8~\text{eV}\)
3. \(-10.2~\text{eV}\)
4. \(-13.6~\text{eV}\)
Subtopic: Â Bohr's Model of Atom |
Level 3: 35%-60%
Hints
Whenever a photon is emitted by a hydrogen atom in the Paschen series, it is followed by further emissions of photons, in the Balmer series or the Lyman series. These photons can have:
| 1. | \(2\) possible energy values. |
| 2. | \(3\) possible energy values. |
| 3. | \(4\) possible energy values. |
| 4. | \(5\) possible energy values. |
Subtopic: Â Spectral Series |
 65%
Level 2: 60%+
Hints
Light having the wavelength equal to the first line of the Lyman series is incident on a metal having a work function of \(6\text{ eV}.\) The energy of the fastest photo-electron emitted is:
1. \(7.6\text{ eV}\)
2. \(4.2\text{ eV}\)
3. \(2.1\text{ eV}\)
4. \(0.8\text{ eV}\)
1. \(7.6\text{ eV}\)
2. \(4.2\text{ eV}\)
3. \(2.1\text{ eV}\)
4. \(0.8\text{ eV}\)
Subtopic: Â Spectral Series |
 66%
Level 2: 60%+
Hints
Taking the bohr radius as \(a_0=53\) pm, the radius of Li++ ion in its ground state on the basis of bohr's model will be about:
1. \(153\) pm
2. \(27\) pm
3. \(18\) pm
4. \(13\) pm
Subtopic: Â Bohr's Model of Atom |
 75%
Level 2: 60%+
Hints
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: Â Bohr's Model of Atom |
 67%
Level 2: 60%+
NEET - 2022
Hints
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: Â Bohr's Model of Atom |
 78%
Level 2: 60%+
NEET - 2022
Hints
Given below are two statements:
| Statement I: | The time period of revolution of an electron in its \(n^\mathrm{th}\) Bohr orbit in an atom is directly proportional to \(n^3.\) |
| Statement II: | The kinetic energy of an electron in its \(n^\mathrm{th}\) Bohr orbit in an atom is directly proportional to \(n.\) |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
Subtopic: Â Bohr's Model of Atom |
 82%
Level 1: 80%+
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