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

When the momentum of a photon is chagned by an amount p ' then the...

When the momentum of a photon is chagned by an amount p′p ' then the corresponding change in the de-Broglie wavelength is found to be 0.20. 2 %. Then, the original momentum of the photon was

Options

  1. A300p′300p′
  2. B500p′
  3. C400p′400p′
  4. D600p′600p′

Correct answer

B. 500p′

Step-by-step solution

∵λ=hp∵ \lambda = \dfrac{h}{p}

∴λ∝1p∴ \lambda ∝ \dfrac{1}{p}

⇒\Deltapp=−Δλλ⇒ \dfrac{\Deltap}{p} = - \dfrac{\Delta\lambda}{\lambda}

∴∣\Deltapp∣=∣Δλλ∣∴ \left|\dfrac{\Deltap}{p}\right| = \left|\dfrac{\Delta\lambda}{\lambda}\right|

⇒p′p=0.20100=1500⇒ \dfrac{p^{′}}{p} = \dfrac{0.20}{100} = \dfrac{1}{500}

⇒p=500p′⇒ p = 500p^{′}
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