Spectral Series of Hydrogen Atom PYQs: JEE Mains Physics

Showing 1–26 of 26 questions

1. 1. In hydrogen atom spectrum, (R is Rydberg's constant):
   A. the maximum wavelength of the radiation of Lyman series is \(\frac{4}{3 R}\)
   B. the Balmer series lies in the visible region of the spectrum
   C. the minimum wavelength of the radiation of Paschen series is \(\frac{9}{R}\)
   D. the minimum wavelength of Lyman series is \(\frac{5}{4 R}\)
   Choose the correct answer from the options given below : 2026 Medium
2. 2. The ratio of momentum of the photons of the \(1^{st}\) and \(2^{nd}\) line of Balmer series of Hydrogen atoms is \(\alpha/\beta\). The possible values of \(\alpha\) and \(\beta\) are:- 2026 Medium
3. 3. The smallest wavelength of Lyman series is 91 nm. The difference between the largest wavelengths of Paschen and Balmer series is nearly __________ nm. 2026 Medium
4. 4. For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the Balmer series is _______. 2025 Easy
5. 5. A hydrogen atom in ground state is given an energy of \(10.2 \mathrm{eV}\). How many spectral lines will be emitted due to transition of electrons? 2024 Medium
6. 6. An electron revolving in \(\mathrm{n}^{\text {th }}\) Bohr orbit has magnetic moment \(\mu_n\). If \(\mu_n\) \(\alpha\) \(n^x\), the value of \(x\) is _______. 2024 Hard
7. 7. If the wavelength of the first member of Lyman series of hydrogen is \(\lambda\). The wavelength of the second member will be _______. 2024 Hard
8. 8. In an alpha particle scattering experiment distance of closest approach for the \(\alpha\) particle is \(4.5 \times 10^{-14} \mathrm{~m}\). If target nucleus has atomic number \(80\) , then maximum velocity of \(\alpha\)-particle is _______ \(\times 10^5\) \(\mathrm{m} / \mathrm{s}\) approximately. \(\left(\frac{1}{4 \pi \epsilon_0}=9 \times 10^9 \mathrm{SI}\right.\) unit, mass of \(\alpha\) particle \(=\) \(\left.6.72 \times 10^{-27} \mathrm{~kg}\right)\) 2024 Hard
9. 9. Radius of a certain orbit of hydrogen atom is \(8.48\mathring A \). If energy of electron in this orbit is \(\mathrm{E} / \mathrm{x}\), then \(\mathrm{x}=\) _______. (Given \(a_0=0.529 \mathring A, E=\) energy of electron in ground state) 2024 Hard
10. 10. The angular momentum of an electron in a hydrogen atom is proportional to _______. (Where \(\mathrm{r}\) is the radius of orbit of electron) 2024 Hard
11. 11. The radius of third stationary orbit of electron for Bohr's atom is \(R\). The radius of fourth stationary orbit will be: 2024 Hard
12. 12. The shortest wavelength of the spectral lines in the Lyman series of hydrogen spectrum is \(915\)\(A\). The longest wavelength of spectral lines in the Balmer series will be _______ \(A\). 2024 Hard
13. 13. A \(12.5\,eV\) electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be: 2023 Hard
14. 14. If \(917 \mathring A\) be the lowest wavelength of Lyman series then the lowest wavelength of Balmer series will be .......\(\mathring A\). 2023 Medium
15. 15. The ratio of wavelength of spectral lines \(H_\alpha\) and \(H _\beta\) in the Balmer series is \(\frac{x}{20}\). The value of \(x\) is \(...............\) 2023 Medium
16. 16. In a hydrogen spectrum, \(\lambda\) be the wavelength of first transition line of Lyman series. The wavelength difference will be "a \(\lambda^{\prime}\) between the wavelength of \(3^{\text {rd }}\) transition line of Paschen series and that of \(2^{\text {nd }}\) transition line of Balmer Series where \(a=........\) 2022 Hard
17. 17. If \(\lambda_{1}\) and \(\lambda_{2}\) are the wavelengths of the third member of Lyman and first member of the Paschen series respectively, then the value of \(\lambda_{1}: \lambda_{2}\) is 2021 Medium
18. 18. In the given figure, the energy levels of hydrogen atom have been shown along with some transitions marked \(A. B, C. D\) and \(E.\) The transitions \(A , B\) and \(C\) respectively represent
    2021 Medium
19. 19. The atomic hydrogen emits a line spectrum consisting of various series. Which series of hydrogen atomic spectra is lying in the visible region? 2021 Medium
20. 20. \(X\) different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are exited to states with principal quantum number \({n}=6\) ? The value of \({X}\) is ..... . 2021 Medium
21. 21. In the line spectra of hydrogen atom, difference between the largest and the shortest wavelengths of the Lyman series is \(304\,\mathring {A}.\) The corresponding difference for the Paschan series in \(\mathring {A}\) is 2020 Hard
22. 22. The first member of the Balmer series of hydrogen atom has a wavelength of \(6561\; \mathring A\). The wavelength of the second member of the Balmer series (in \(nm\)) is 2020 Medium
23. 23. Taking the wavelength of first Balmer line in hydrogen spectrum (\( n = 3\) to \(n = 2\) ) as \(660\,nm ,\) the wavelength of the \(2^{nd}\) Balmer line ( \(n =4\) to \(n = 2\) ) will be....\(nm\) 2019 Hard
24. 24. If the series limit frequency of the Lyman series is \(v_L\), then the series limit frequency of the \(P\)-fund series is 2018 Medium
25. 25. For \(LED's\)  to emit light in visible region of electromagnetic light, it should have energy band gap in the range of 2014 Medium
26. 26. A \(12.5\, eV\) electron beam is used to bombard gaseous hydrogen at room temperature. It will emit 2013 Hard

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