Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202227 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
27 June
Shift
Morning Shift
Subject
Physics
Chapter
Atomic Physics

JEE Main 2022 · 27 June · Morning Shift · Physics · Atomic Physics

A hydrogen atom in its ground state absorbs 10 . 2eV of energy. The...

A hydrogen atom in its ground state absorbs 10.2eV10 . 2eV of energy. The angular momentum of electron of the hydrogen atom will increase by the value of (Given, Planck's constant =6.6×10−34Js= 6 . 6 \times {10}^{- 34}Js).

Options

  1. A2.10×10−34Js2 . 10 \times {10}^{- 34}Js
  2. B1.05×10−34Js1 . 05 \times {10}^{- 34}Js
  3. C3.15×10−34Js3 . 15 \times {10}^{- 34}Js
  4. D4.2×10−34Js4 . 2 \times {10}^{- 34}Js

Correct answer

B. 1.05×10−34Js1 . 05 \times {10}^{- 34}Js

Step-by-step solution

Energy absorbed is given by,

\DeltaE=13.6×(1n12−1n22)\DeltaE = 13 . 6 \times \left(1{n}_{1}^{2} - 1{n}_{2}^{2}\right)

10.2=13.6×(1n12−1n22)10 . 2 = 13 . 6 \times \left(1{n}_{1}^{2} - 1{n}_{2}^{2}\right)

Therefore, we get, n1=1 and n2=2{n}_{1} = 1 \text{ and } {n}_{2} = 2

The change in angular momentum

\DeltaL=n2h2π−n1h2π=h2π\DeltaL = \dfrac{{n}_{2}h}{2\pi} - \dfrac{{n}_{1}h}{2\pi} = \dfrac{h}{2\pi}

=1.05×10−34Js= 1 . 05 \times {10}^{- 34}Js

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