Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202131 AugustEvening Shift
Exam
JEE Main
Year
2021
Date
31 August
Shift
Evening Shift
Subject
Physics
Chapter
Atomic Physics

JEE Main 2021 · 31 August · Evening Shift · Physics · Atomic Physics

A free electron of 2 . 6eV energy collides with a H ^ + ion. This...

A free electron of 2.6eV2 . 6eV energy collides with a H+{H}^{+} ion. This results in the formation of a hydrogen atom in the first excited state and a photon is released. Find the frequency of the emitted photon. (h=6.6×10−34Js)\left(h = 6 . 6 \times {10}^{- 34}Js\right)

Options

  1. A9.0×1027MHz9 . 0 \times {10}^{27}MHz
  2. B1.45×109MHz1 . 45 \times {10}^{9}MHz
  3. C0.19×1015MHz0 . 19 \times {10}^{15}MHz
  4. D1.45×1016MHz1 . 45 \times {10}^{16}MHz

Correct answer

B. 1.45×109MHz1 . 45 \times {10}^{9}MHz

Step-by-step solution

By Energy conservation
(K.E.)e=T.E.H++EPhoton{\left(K . E .\right)}_{e} = T . E .{H}^{+} + {E}_{Photon}
2.6=−13.64+hf2 . 6 = \dfrac{- 13 . 6}{4} + hf
hf=6eVhf = 6eV
f=6×1.6×10−196.626×10−34f = \dfrac{6 \times 1 . 6 \times {10}^{- 19}}{6 . 626 \times {10}^{- 34}}
f=1.45×1015Hz=1.45×109MHzf = 1 . 45 \times {10}^{15}Hz = 1 . 45 \times {10}^{9}MHz
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