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 \(\frac{R_1}{R_2}\) is:
1. \(0.25\)
2. \(0.5\)
3. \(2\)
4. \(4\)
Subtopic:  Bohr's Model of Atom |
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Let \(T_1\) and \(T_2\) be the energy of an electron in the first and second excited states of 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. \(4:9\) 
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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. \(9\lambda\)
Subtopic:  Spectral Series |
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NEET - 2023
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The radius of inner most orbit of a hydrogen atom is \(5.3 \times 10^{-11}\) 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 |
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NEET - 2023
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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. \(3.4~\text{eV}\)
Subtopic:  Bohr's Model of Atom |
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The wavelength of 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 \(1.5\Big(\frac h\pi\Big).\) 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 total energy of an electron in the \(n^{th}\) stationary orbit of the hydrogen atom can be obtained by:
1. \(E_n = \frac{13.6}{n^2}~\text{eV}\)
2. \(E_n = -\frac{13.6}{n^2}~\text{eV}\)
3. \(E_n = \frac{1.36}{n^2}~\text{eV}\)
4. \(E_n = -{13.6}\times{n^2}~\text{eV}\)

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Match List I with List II.
List I
(Spectral Lines of Hydrogen for transitions from)
List II
(Wavelength (nm))
\(\mathrm{A.}\) \(n_2=3\)  to \(n_1=2\)  \(\mathrm{I.}\) \(410.2\)
\(\mathrm{B.}\) \(n_2=4\)  to \(n_1=2\)  \(\mathrm{II.}\) \(434.1\)
\(\mathrm{C.}\) \(n_2=5\)  to \(n_1=2\)  \(\mathrm{III.}\) \(656.3\)
\(\mathrm{D.}\) \(n_2=6\) to \(n_1=2\)  \(\mathrm{IV.}\) \(486.1\)
Choose the correct answer from the options given below:
1. \(\mathrm{A - III, B - IV, C - II, D - I}\)
2. \(\mathrm{A - IV, B - III, C - I, D - II}\)
3. \(\mathrm{A - I, B - II, C - III, D - IV}\)
4. \(\mathrm{A - II, B - I, C - IV, D - III}\)
Subtopic:  Spectral Series |
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NEET - 2024
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