Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Atomic Physics

NTA Abhyas 2020 · Physics · Atomic Physics

If the radius of first Bohr's orbit is x , then de Broglie...

If the radius of first Bohr's orbit is xx, then de Broglie wavelength of an electron in 3rd{3}^{rd} orbit is nearly

Options

  1. A2\pix2\pix
  2. B6πx6 \pi x
  3. C9x9x
  4. Dx/3x/3

Correct answer

B. 6πx6 \pi x

Step-by-step solution

If r3={r}_{3} = Radius of 3rd{3}^{rd} orbit

and r1={r}_{1} = Radius of 1st{1}^{st} orbit

r3=r1×n2=x×32=9x{r}_{3} = {r}_{1} \times n{}^{2} = \text{x} \times {3}^{2} = \text{9x}

∵2πr3=nλ∵ 2 {πr}_{3} = n \lambda

∴\lambda=2πr3n=2\pi×9x3=6\pix∴ \text{\lambda} = \dfrac{2{πr}_{3}}{n } = \dfrac{2\text{\pi} \times 9\text{x}}{3} = 6\text{\pi x}

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 NTA Abhyas JEE Main PYQs