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Q. No.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. \(9\lambda\)
Subtopic: Spectral Series |
65%
Level 2: 60%+
NEET - 2023
Hints
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
Hints
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
Hints
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 diagram shown represents different transitions of electron \(({A,B,C,D})\) between the energy levels with the energies mentioned. Among the shown transitions, which transition will generate a photon of wavelength \(124.1~\text{nm}?\)
(\(hc=1241~\text{eV-nm}\)).
1. \({A}\)
2. \({B}\)
3. \({C}\)
4. \({D}\)
(\(hc=1241~\text{eV-nm}\)).
1. \({A}\)
2. \({B}\)
3. \({C}\)
4. \({D}\)
Subtopic: Spectral Series |
87%
Level 1: 80%+
JEE
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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: Bohr's Model of Atom |
68%
Level 2: 60%+
NEET - 2013
Hints
In which of the following systems will be wavelength corresponding to \(n=3\) to \(n=1\) be minimum?
1. Hydrogen atom
2. Deuterium atom
3. Singly ionized helium
4. Doubly ionized lithium
1. Hydrogen atom
2. Deuterium atom
3. Singly ionized helium
4. Doubly ionized lithium
Subtopic: Spectral Series |
76%
Level 2: 60%+
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Consider an electron revolving around nucleus in an orbit. \((KE)\) denotes its kinetic energy, \((PE)\) denotes potential energy of electron-nucleus system and \((TE)\) denotes total energy of electron-nucleus system. The value of \(\left|\dfrac{(KE)+(TE)}{(PE)}\right|\) is equal to:
1. \(0\)
2. \(1\)
3. \(2\)
4. \(3\)
1. \(0\)
2. \(1\)
3. \(2\)
4. \(3\)
Subtopic: Bohr's Model of Atom |
71%
Level 2: 60%+
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A hypothetical function defined as \(Y_n=(E_n-E_{n-1})\) where \(E_n\) is the total energy of an orbit of hydrogen atom having principal quantum number \(n,\) then:
1. \(Y_2>Y_3\)
2. \(Y_2<Y_3\)
3. \(Y_2=Y_3\)
4. \(2Y_2=Y_3\)
1. \(Y_2>Y_3\)
2. \(Y_2<Y_3\)
3. \(Y_2=Y_3\)
4. \(2Y_2=Y_3\)
Subtopic: Bohr's Model of Atom |
69%
Level 2: 60%+
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