Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

JEE Main 201911 JanuaryEvening Shift

Exam: JEE Main
Year: 2019
Date: 11 January
Shift: Evening Shift
Subject: Physics
Chapter: Atomic Physics

JEE Main 2019 · 11 January · Evening Shift · Physics · Atomic Physics

In a hydrogen like atom, when an electron jumps from the M-shell to...

In a hydrogen like atom, when an electron jumps from the M-shell to the L-shell, the wavelength of emitted radiation is

L

. If an electron jumps from

\mathrm{N}

-shell to the

\mathrm{L}

-shell, the wavelength of emitted radiation will be:

Options

A $\frac{27}{20} \lambda$
B $\frac{16}{25} \lambda$
C $\frac{25}{16} \lambda$
D $\frac{20}{27} \lambda$

Correct answer

D. $\frac{20}{27} \lambda$

Step-by-step solution

When electron jumps from

\mathrm{M} \rightarrow \mathrm{L}

shell

\frac{1}{\lambda}=\mathrm{K}\left(\frac{1}{2^{2}}-\frac{1}{3^{2}}\right)=\frac{\mathrm{K} \times 5}{36}

When eletron jumps from

\mathrm{N} \rightarrow \mathrm{L}

shell

\frac{1}{\lambda^{\prime}}=K\left(\frac{1}{2^{2}}-\frac{1}{4^{2}}\right)=\frac{K \times 3}{16}

solving equation (i) and (ii) we get

\lambda^{\prime}=\frac{20}{27} \lambda

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 2026 The ratio of momentum of the photons of the 1^ st and 2^ nd line of Balmer series of… JEE Main 2026 In the hydrogen atom, the electron makes a transition from the higher orbit ( i ) to a… JEE Main 2026 In Rutherford's alpha-particle scattering experiment, only a few alpha particles rebound… JEE Main 2026 Using Bohr's model, calculate the ratio of the magnetic fields generated due to the… JEE Main 2026 Angular momentum of an electron in a hydrogen atom is (3h)/(π) , then the energy of the… JEE Main 2026 Two electrons are moving in orbits of two hydrogen like atoms with speeds 3 × 10^ 5 ~m /… JEE Main 2026 In 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