Q54.The longest wavelength of light that can be used for the ionisation of lithium ion $\mathrm{(Li^{2+})}$ is x × 10-8 m. The value of x is (Nearest Integer) (Given : Energy of the electron in the first shell of the hydrogen atom is -2 . 2 × 10-18 J; h = 6 . 63 × 10-34Js and c = 3 × 108 ms-1)
What This Question Tests
This question tests the application of Bohr's model for multi-electron species to calculate ionization energy and then relate it to the wavelength of light using Planck's equation.
Concepts Tested
Formulas Used
E_n = -2.18 x 10^-18 J * Z^2/n^2
E = hc/λ
📚 NCERT Sections This Tests
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 · Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
12.8 — A 12.5 Ev Electron Beam Is Used To Bombard Gaseous Hydrogen At
Physics Class 12 · Chapter 12
12.8 A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. What series of wavelengths will be emitted?
12.7 — The Radius Of The Innermost Electron Orbit Of A Hydrogen Atom Is
Physics Class 12 · Chapter 12
12.7 The radius of the innermost electron orbit of a hydrogen atom is 5.3×10–11 m. What are the radii of the n = 2 and n =3 orbits?
📋 Question Details
- Chapter
- Atomic Structure
- Topic
- Bohr's model and Ionization Energy
- Year
- 2022
- Shift
- 25 Jun Shift 1
- Q Number
- Q54
- Type
- Numerical
- NCERT Ref
- Class 11 Chemistry Ch 2: Atomic Structure
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