Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202311 AprilEvening Shift
Exam
JEE Main
Year
2023
Date
11 April
Shift
Evening Shift
Subject
Physics
Chapter
Atomic Physics

JEE Main 2023 · 11 April · Evening Shift · Physics · Atomic Physics

The energy of He ^ + ion in its first state is, (The ground state...

The energy of He+{He}^{+} ion in its first state is, (The ground state energy for the Hydrogen atom−13.6eV- 13 . 6eV):

Options

  1. A−27.2eV- 27 . 2eV
  2. B−3.4eV- 3 . 4eV
  3. C−13.6eV- 13 . 6eV
  4. D−54.4eV- 54 . 4eV

Correct answer

C. −13.6eV- 13 . 6eV

Step-by-step solution

Energy of Hydrogen like atoms is, E=−13.6Z2n2eVE = \dfrac{- 13 . 6{Z}^{2}}{{n}^{2}}eV.

Since Helium is in the first state, Z=2,n=2Z = 2, n = 2.

The energy of He+{He}^{+} ion is,

E=−13.6×2222=−13.6eVE = - \dfrac{13 . 6 \times {2}^{2}}{{2}^{2}} = - 13 . 6eV

Practice Atomic Physics on Quantrex Academy →

More from Atomic Physics

Consider a hydrogen atom with v_k , r_k , and K_k denoting the velocity, orbital radius… JEE Advanced 2026The ratio of momentum of the photons of the 1^ st and 2^ nd line of Balmer series of… JEE Main 2026In the hydrogen atom, the electron makes a transition from the higher orbit ( i ) to a… JEE Main 2026In Rutherford's alpha-particle scattering experiment, only a few alpha particles rebound… JEE Main 2026Using Bohr's model, calculate the ratio of the magnetic fields generated due to the… JEE Main 2026Angular momentum of an electron in a hydrogen atom is (3h)/(π) , then the energy of the… JEE Main 2026Two electrons are moving in orbits of two hydrogen like atoms with speeds 3 × 10^ 5 ~m /… JEE Main 2026In hydrogen atom spectrum, (R arrow Rydberg's constant ) A. the maximum wavelength of the… JEE Main 2026 Full Atomic Physics list All JEE Main PYQs