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Q. No.What happens when an electron makes a transition from an excited state to the ground state of a hydrogen-like atom or ion?
1.
Its kinetic energy increases but potential energy and total energy decrease.
2.
Kinetic energy, potential energy and total energy decrease.
3.
Kinetic energy decreases, potential energy increases but the total energy remains the same.
4.
Kinetic energy and total energy decrease but potential energy increases.
Subtopic: Bohr's Model of Atom |
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Level 2: 60%+
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The wavelength of the first line of the Lyman series for a hydrogen atom is equal to that of the second line of the Balmer series for a hydrogen-like ion. What is the atomic number \(Z\) of hydrogen-like ions?
1. \(4\)
2. \(1\)
3. \(2\)
4. \(3\)
Subtopic: Spectral Series |
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Level 2: 60%+
AIPMT - 2011
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The ionisation potential of the hydrogen atom is \(13.6~\text{eV}.\) The hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy of \(12.1~\text{eV}.\) According to Bohr’s theory, the spectral lines emitted by hydrogen atoms will be:
1. two
2. three
3. four
4. one
Subtopic: Spectral Series |
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Level 2: 60%+
AIPMT - 2006
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The de-Broglie wavelength of an electron in the second orbit of a hydrogen atom is equal to:
| 1. | The perimeter of the orbit. |
| 2. | The half of the perimeter of the orbit. |
| 3. | The half of the diameter of the orbit. |
| 4. | The diameter of the orbit. |
Subtopic: Bohr's Model of Atom |
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In an \(\alpha\text-\)particle scattering experiment, the number of particles scattered per minute in a direction perpendicular to the direction of incident particles is \(40.\) What will be the number of particles scattered at an angle of \(60^{\circ}\) per minute?
| 1. | \(145\) | 2. | \(160\) |
| 3. | \(172\) | 4. | \(157\) |
Subtopic: Various Atomic Models |
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The radius of the first permitted Bohr orbit for the electron in a hydrogen atom equals \(0.5~\mathring{A}\) and its ground state energy equals \(-13.6\) eV. If the electron in the hydrogen atom is replaced by a muon \((\mu\text-)\) [ charged the same as the electron and mass \(207m_e\)], the first Bohr radius and ground state energy will be:
(\(m_e\) represents mass of electron)
(\(m_e\) represents mass of electron)
| 1. | \(0.53 \times 10^{-13} ~\text{m},-3.6 ~\text{eV}\) |
| 2. | \(25.6 \times 10^{-13} ~\text{m},-2.8 ~\text{eV}\) |
| 3. | \(2.56 \times 10^{-13} ~\text{m},-2.8 ~\text{keV}\) |
| 4. | \(2.56 \times 10^{-13} ~\text{m},-13.6 ~\text{eV}\) |
Subtopic: Bohr's Model of Atom |
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Level 3: 35%-60%
NEET - 2019
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Let \(R\) represent the orbital radius of an electron moving in an orbit and \(K\) represent its kinetic energy. Then the quantity \(KR\) varies with principal quantum number \(n\) as:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Bohr's Model of Atom |
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In an atom, if the transition from \(n = 4\) to \(n=3\) gives ultraviolet radiation, then to obtain infrared radiation, the transition should be:
| 1. | \(5\rightarrow 4\) | 2. | \(3\rightarrow 2\) |
| 3. | \(2\rightarrow 1\) | 4. | \(3\rightarrow 1\) |
Subtopic: Spectral Series |
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If the wavelength of the first line in the Balmer Series of the hydrogen spectrum is \(\lambda,\) then what is the wavelength of the second line in this series?
1. \(\frac{20}{27}\lambda\)
2. \(\frac{27}{20}\lambda\)
3. \(\frac{25}{27}\lambda\)
4. \(\frac{27}{25}\lambda\)
1. \(\frac{20}{27}\lambda\)
2. \(\frac{27}{20}\lambda\)
3. \(\frac{25}{27}\lambda\)
4. \(\frac{27}{25}\lambda\)
Subtopic: Spectral Series |
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Let \(f_1\) be the maximum frequency of the Lyman series, \(f_2\) be the frequency of the first line of the Lyman series, and \(f_3\) be the frequency of the series limit of the Balmer series, then which of the following is correct?
1. \(f_1-f_2=f_3\)
2. \(f_2-f_1=f_3\)
3. \(f_1+f_2=f_3\)
4. \(2f_1 = f_2 + f_3\)
1. \(f_1-f_2=f_3\)
2. \(f_2-f_1=f_3\)
3. \(f_1+f_2=f_3\)
4. \(2f_1 = f_2 + f_3\)
Subtopic: Spectral Series |
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