AktiraAktira JEE
Subscribe
PhysicsJEE Main 5 Apr 2026, Shift 1·Q10·MCQ·Moderate

Dual Nature of Radiation and Matter · Matter waves

An electron of mass mm is moving in an electric field E⃗=−2E0i^\vec E = -2E_0\hat i (E0E_0 = constant >0> 0), with an initial velocity V⃗=v0i^\vec V = v_0\hat i (v0v_0 = constant >0> 0). If λ0=h4mv0\lambda_0 = \dfrac{h}{4mv_0}, its de Broglie wavelength at time tt is . (ee = charge of electron)
  1. (1)4λ0[1−E0e2mtv0]\dfrac{4\lambda_0}{\left[1 - \dfrac{E_0e}{2m}\dfrac{t}{v_0}\right]}
  2. (2)4λ0[1+E0e2mtv0]\dfrac{4\lambda_0}{\left[1 + \dfrac{E_0e}{2m}\dfrac{t}{v_0}\right]}
  3. (3)4λ0[1+2E0emtv0]\dfrac{4\lambda_0}{\left[1 + \dfrac{2E_0e}{m}\dfrac{t}{v_0}\right]}
  4. (4)4λ0[1−2E0emtv0]\dfrac{4\lambda_0}{\left[1 - \dfrac{2E_0e}{m}\dfrac{t}{v_0}\right]}

Video solution coming soon

We're animating every PYQ step by step. Subscribe to get them first.

Subscribe

See the full 5 Apr 2026, Shift 1 paper

More on Matter waves