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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. \(9\lambda\)
1. \(16\lambda\)
2. \(2\lambda\)
3. \(4\lambda\)
4. \(9\lambda\)
Subtopic: Various Atomic Models |
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The radius of inner most orbit of hydrogen atom is \(5.3 \times 10^{-11}\) m. What is the radius of third allowed orbit of hydrogen atom?
| 1. | \(4.77~ \mathring{\text{A}}\) | 2. | \(0.53~ \mathring{\text{A}}\) |
| 3. | \(1.06~ \mathring{\text{A}}\) | 4. | \(1.59~ \mathring{\text{A}}\) |
Subtopic: Bohr's Model of Atom |
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The ground state energy of hydrogen atom is \(-13.6~\mathrm{eV}\). The energy needed to ionize hydrogen atom from its second excited state will be:
1. \(13.6~\mathrm{eV}\)
2. \(6.8~\mathrm{eV}\)
3. \(1.51~\mathrm{eV}\)
4. \(3.4~\mathrm{eV}\)
1. \(13.6~\mathrm{eV}\)
2. \(6.8~\mathrm{eV}\)
3. \(1.51~\mathrm{eV}\)
4. \(3.4~\mathrm{eV}\)
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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The angular momentum of an electron moving in an orbit of hydrogen atom is \(1.5\Big(\frac h\pi\Big).\) The energy in the same orbit is nearly:
1. \(-1.5\) eV
2. \(-1.6\) eV
3. \(-1.3\) eV
4. \(-1.4\) eV
1. \(-1.5\) eV
2. \(-1.6\) eV
3. \(-1.3\) eV
4. \(-1.4\) eV
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. \(4:9\)
1. \(9:4\)
2. \(1:4\)
3. \(4:1\)
4. \(4:9\)
Subtopic: Bohr's Model of Atom |
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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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For which one of the following Bohr model is not valid?
1. Singly ionised helium atom
2. Deuteron atom
3. Singly ionised neon atom
4. Hydrogen atom
Subtopic: Bohr's Model of Atom |
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The total energy of an electron in the stationary orbit of the hydrogen atom can be obtained by:
1.
2.
3.
4.
Subtopic: Bohr's Model of Atom |
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