Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET 202626 AprilMorning Shift
Exam
MHT CET
Year
2026
Date
26 April
Shift
Morning Shift
Subject
Physics
Chapter
Atomic Physics

MHT CET 2026 · 26 April · Morning Shift · Physics · Atomic Physics

The angular momentum of an electron in Bohr's hydrogen atom having...

The angular momentum of an electron in Bohr's hydrogen atom having energy −0.544-0.544 eV is (h = Planck's constant)

Options

  1. A7h2π\dfrac{7h}{2\pi}
  2. B5h2π\dfrac{5h}{2\pi}
  3. C3hπ\dfrac{3h}{\pi}
  4. Dhπ\dfrac{h}{\pi}

Correct answer

B. 5h2π\dfrac{5h}{2\pi}

Step-by-step solution

The energy of an electron in the nn-th orbit of a hydrogen atom is given by En=−13.6n2E_n = -\dfrac{13.6}{n^2} eV.

Given En=−0.544E_n = -0.544 eV.

−13.6n2=−0.544-\dfrac{13.6}{n^2} = -0.544

n2=13.60.544=25n^2 = \dfrac{13.6}{0.544} = 25

n=5n = 5

The angular momentum of an electron in the nn-th orbit is L=nh2πL = \dfrac{nh}{2\pi}.

Substituting n=5n = 5, we get L=5h2πL = \dfrac{5h}{2\pi}.

Answer: 5h2π\dfrac{5h}{2\pi}
Practice Atomic Physics on Quantrex Academy →

More from Atomic Physics

The energy levels of certain atom are represented in the following figure. During the… MHT CET Medical 2026The ratio of ionization energy of a hydrogen atom in fifth excited state to second… MHT CET Medical 2026The wavelength of radiation emitted is ' λ ' when an electron jumps from second to first… MHT CET Medical 2026An electron of mass ' m_e ' and charge ' e ' revolving around the nucleus in n^ th orbit… MHT CET Medical 2026The ratio of angular frequency (ω ) of an electron to the total energy ( E) of an… MHT CET Medical 2026The ratio between the areas of Bohr's first three orbits of the hydrogen atom are MHT CET Medical 2026A hydrogen atom in its ground state is irradiated by light of wavelength 1026\ Å . The… MHT CET Medical 2026The radius of the orbit of an electron in a hydrogen like atom is 4.5a_0 , where a_0 is… MHT CET Medical 2026 Full Atomic Physics list All MHT CET Medical PYQs