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Q. No.Light, having a wavelength equal to the first line of the Balmer series, is incident onto a metal of work-function \(2\) eV. The kinetic energy of the ejected electron is:
1. \(1.4\) eV
2. \(0.5\) eV
3. \(0.1\) eV
4. no electrons are ejected
Subtopic: Â Bohr's Model of Atom |
 63%
Level 2: 60%+
Hints
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: Â Bohr's Model of Atom |
 80%
Level 1: 80%+
NEET - 2022
Hints
The electrostatic potential at the location of an electron in the ground state of the \(\mathrm{H}\)-atom is:
1. \(13.6~\text V\)
2. \(6.8~\text V\)
3. \(27.2~\text V\)
4. \(3.4~\text V\)
1. \(13.6~\text V\)
2. \(6.8~\text V\)
3. \(27.2~\text V\)
4. \(3.4~\text V\)
Subtopic: Â Bohr's Model of Atom |
Level 3: 35%-60%
Hints
The product of the angular momentum and the kinetic energy of an electron in the \(n^\text{th}\) Bohr orbit in a hydrogen atom is proportional to:
| 1. | \(n\) | 2. | \(n^2\) |
| 3. | \(\dfrac1n\) | 4. | \(\dfrac{1}{n^3}\) |
Subtopic: Â Bohr's Model of Atom |
 76%
Level 2: 60%+
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 |
 80%
Level 1: 80%+
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
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
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
An electron in hydrogen atom makes a transition \(n_1 \rightarrow n_2\) where \(n_1\) and \(n_2\) are principal quantum numbers of the two states. Assuming Bohr's model to be valid, the time period of the electron in the initial state is eight times that in the final state. The possible values of \(n_1\) and \(n_2\) are:
| 1. | \( n_1 = 6~\text{and}~n_2 = 2\) | 2. | \( n_1 = 8~\text{and}~ n_2 = 1\) |
| 3. | \( n_1 = 8~\text{and}~ n_2 = 2\) | 4. | \(n_1 = 4~\text{and}~n_2 = 2\) |
Subtopic: Â Bohr's Model of Atom |
 67%
Level 2: 60%+
NEET - 2013
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 |
 63%
Level 2: 60%+
Hints
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