Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202529 JanuaryMorning Shift
Exam
JEE Main
Year
2025
Date
29 January
Shift
Morning Shift
Subject
Chemistry
Chapter
Structure of Atom

JEE Main 2025 · 29 January · Morning Shift · Chemistry · Structure of Atom

If (a_0) is denoted as the Bohr radius of hydrogen atom, then what...

If (\mathrm{a}_0) is denoted as the Bohr radius of hydrogen atom, then what is the de-Broglie wavelength ((\lambda)) of the electron present in the second orbit of hydrogen atom? [n : any integer]

Options

  1. A(\frac{8 \pi a_0}{n})
  2. B(\frac{2 a_0}{n \pi})
  3. C(\frac{4 \mathrm{n}}{\pi \mathrm{a}_0})
  4. D(\frac{4 \pi a_0}{n})

Correct answer

A. (\frac{8 \pi a_0}{n})

Step-by-step solution

rn=a0n2zr_n=\frac{a_0 n^2}{z} Also, 2πrn=nλ2 \pi \mathrm{r}_{\mathrm{n}}=\mathrm{n} \lambda Where λ\lambda is de-Broglie wavelength 2πa0n2z=nλ\frac{2 \pi \mathrm{a}_0 \mathrm{n}^2}{\mathrm{z}}=\mathrm{n} \lambda For second orbit of H -atom λ=8πa0n\lambda=\frac{8 \pi \mathrm{a}_0}{\mathrm{n}}
Practice Structure of Atom on Quantrex Academy →

More from Structure of Atom

The 2s and the 2p orbital energies of hydrogen atom are E_ 2s (H) and E_ 2p (H)… JEE Advanced 2026X^ a+ and Y^ b+ are hydrogen-like species. The wavelength of light absorbed during the… JEE Advanced 2026Consider two radiations of wavelengths 1. λ_1 = 2000 Å 2. λ_2 = 6000 Å The ratio of the… JEE Main 2026The Bohr radius of a hydrogen like species is 70.53 pm. The species and the stationary… JEE Main 2026If shortest wavelength of hydrogen atom in Lyman series is x , then longest wavelength in… JEE Main 2026Match the LIST-I with LIST-II List-I Orbital List-II Radial nodes and nodal plane A. 2s… JEE Main 2026Which of the following statement(s) is/are true ? A. If two orbitals have the same value… JEE Main 2026Arrange the following atomic orbitals of multi electron atoms in order of increasing… JEE Main 2026 Full Structure of Atom list All JEE Main PYQs