Q. No.In the hydrogen atom, the electron makes a transition from the higher orbit \((i)\) to a lower orbit \((f)\). The ratio of the radius of the orbits in given by \(r_i: r_f=16: 4 .\)
The wavelength of photon emitted due to this transition is: (in nm)
(Given Rydberg constant = \(\left.1.0973 \times 10^7 / \text{m}\right)\)
1. \(121\)
2. \(242\)
3. \(486\)
4. \(974\)
The wavelength of photon emitted due to this transition is: (in nm)
(Given Rydberg constant = \(\left.1.0973 \times 10^7 / \text{m}\right)\)
1. \(121\)
2. \(242\)
3. \(486\)
4. \(974\)
Subtopic: Spectral Series |
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The smallest wavelength of the Lyman series is \(91~\text{nm}\). The difference between the largest wavelength of the Paschen and Balmer series is nearly:
1. \(1875\) mm
2. \(1550\) mm
3. \(1217\) mm
4. \(1784\) mm
1. \(1875\) mm
2. \(1550\) mm
3. \(1217\) mm
4. \(1784\) mm
Subtopic: Spectral Series |
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In hydrogen atom spectrum, (\(R\rightarrow\) Rydberg's constant)
Choose the correct answer from the options given below:
1. \(\mathrm{B,D}\) Only
2. \(\mathrm{A,B~\text{and}~C}\) Only
3. \(\mathrm{A,B~\text{and}~D}\) Only
4. \(\mathrm{A,B}\) Only
| \(\mathrm{A}\). | The maximum wavelength of the radiation of Lyman series is \(\dfrac{4}{3 R}\) |
| \(\mathrm{B}\). | The Balmer series lies in the visible region of the spectrum |
| \(\mathrm{C}\). | The minimum wavelength of the radiation of Paschen series is \(\dfrac{9}{{R}}\). |
| \(\mathrm{D}\). | The minimum wavelength of Lyman series is \(\dfrac{5}{{4R}}\) |
1. \(\mathrm{B,D}\) Only
2. \(\mathrm{A,B~\text{and}~C}\) Only
3. \(\mathrm{A,B~\text{and}~D}\) Only
4. \(\mathrm{A,B}\) Only
Subtopic: Spectral Series |
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For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the Balmer series is:
1. \(27:5\)
2. \(5:27\)
3. \(5:36\)
4. \(3:4\)
1. \(27:5\)
2. \(5:27\)
3. \(5:36\)
4. \(3:4\)
Subtopic: Spectral Series |
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The number of spectral lines emitted by atomic hydrogen that is in the \(4^\text{th}\) energy level, is:
1. \(3\)
2. \(1\)
3. \(6\)
4. \(0\)
1. \(3\)
2. \(1\)
3. \(6\)
4. \(0\)
Subtopic: Spectral Series |
Level 4: Below 35%
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A hydrogen atom in ground state is given an energy of 10.2 eV. How many spectral lines will be emitted due to transition of electrons ?
1. 10
2. 3
3. 1
4. 6Subtopic: Spectral Series |
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The longest wavelength associated with Paschen series is : (Given \(R_H=1.097 \times 10^7\) SI unit)
1. \(2.973 \times 10^{-6} \mathrm{~m}\)
2. \(3.646 \times 10^{-6} \mathrm{~m}\)
3. \(1.094 \times 10^{-6} \mathrm{~m}\)
4. \(1.876 \times 10^{-6} \mathrm{~m}\)
1. \(2.973 \times 10^{-6} \mathrm{~m}\)
2. \(3.646 \times 10^{-6} \mathrm{~m}\)
3. \(1.094 \times 10^{-6} \mathrm{~m}\)
4. \(1.876 \times 10^{-6} \mathrm{~m}\)
Subtopic: Spectral Series |
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The ratio of the shortest wavelength of Balmer series to the shortest wavelength of Lyman series for hydrogen atom is :
1. \(2:1\)
2. \(1:4\)
3. \(1:2\)
4. \(4:1\)
1. \(2:1\)
2. \(1:4\)
3. \(1:2\)
4. \(4:1\)
Subtopic: Spectral Series |
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In the transition from \({n\text=2} \) to \({n\text=1} \) in hydrogen atom, emitted frequency is \({f_0}. \) The frequency for the transition \({n\text=3} \) to \({n\text=1} \) is:
1. \(\dfrac{27}{32}f_0\)
2. \(\dfrac{25}{18}f_0\)
3. \(\dfrac{32}{27}f_0\)
4. \(\dfrac{18}{25}f_0\)
1. \(\dfrac{27}{32}f_0\)
2. \(\dfrac{25}{18}f_0\)
3. \(\dfrac{32}{27}f_0\)
4. \(\dfrac{18}{25}f_0\)
Subtopic: Spectral Series |
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The expression for the longest wavelength in the Paschen series (for \(\mathrm{H}\) atom) is \(\dfrac{144}{xR}.\) Then the value of \({x}\) is:
(\(R\) is Rydberg’s constant).
1. \(5\)
2. \(6\)
3. \(7\)
4. \(8\)
(\(R\) is Rydberg’s constant).
1. \(5\)
2. \(6\)
3. \(7\)
4. \(8\)
Subtopic: Spectral Series |
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