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Q. No.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
Subtopic: Spectral Series |
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Level 2: 60%+
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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
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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 |
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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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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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The ratio of the speed of the electron in the \(3^{\mathrm{rd}}\) orbit of \(\mathrm{He}^{+}\) to the speed of the electron in the \(3^{\mathrm{rd}}\) orbit of the hydrogen atom will be:
1. \(1:1\)
2. \(1:2\)
3. \(4:1\)
4. \(2:1\)
1. \(1:1\)
2. \(1:2\)
3. \(4:1\)
4. \(2:1\)
Subtopic: Bohr's Model of Atom |
72%
Level 2: 60%+
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Instead of angular momentum quantization, a student posits that energy is quantized as \(E=-\dfrac{E_{0}}{n}~\left ( E_{0}>0 \right )\) and \(n\) is a positive integer. Which of the following options is correct?
| 1. | the radius of the electron orbit is \(r\propto\sqrt n\). |
| 2. | the speed of the electron is \(v\propto\sqrt n\). |
| 3. | the angular speed of the electron is \(\omega\propto 1/n\). |
| 4. | the angular momentum of the electron is \(\propto\sqrt n\). |
Subtopic: Bohr's Model of Atom |
56%
Level 3: 35%-60%
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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 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 transition from the state \(n= 4~\text{to}~n=3\) in hydrogen-like atoms results in ultraviolet radiation. Infrared radiation will be obtained in the transition:
1. \(2\rightarrow1\)
2. \(3\rightarrow2\)
3. \(4\rightarrow2\)
4. \(5\rightarrow4\)
1. \(2\rightarrow1\)
2. \(3\rightarrow2\)
3. \(4\rightarrow2\)
4. \(5\rightarrow4\)
Subtopic: Spectral Series |
77%
Level 2: 60%+
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