An electron (mass m) with an initial velocity v=v₀ i(v₀>0) is moving in an electric field E=-E₀ i(E₀>0) where E₀ is constant. If at t=0 de Broglie wavelength is λ₀=h/(m v₀), then its de Broglie wavelength after time t is given by

(D) (λ₀)/((1+(e E₀ t)/(m v₀)))

(B) λ₀(1+(e E₀ t)/(m v₀))

Dual Nature of Matter and Radiation: JEE Main 2022 Physics question

JEE Main 2022 · 27 Jul, Morning shift · Q6575

JEE Main 202227 Jul, Morning shiftPhysicsMediumDual Nature of Matter and Radiation146× since 2002

An electron (mass

\mathrm{m}

) with an initial velocity

\vec{v}=v_{0} \hat{i}\left(v_{0}>0\right)

is moving in an electric field

\vec{E}=-E_{0} \hat{i}\left(E_{0}>0\right)

where

E_{0}

is constant. If at

\mathrm{t}=0

de Broglie wavelength is

\lambda_{0}=\frac{h}{m v_{0}}

, then its de Broglie wavelength after time t is given by

JEE Main 2022 Dual Nature of Matter and Radiation Question with Solution (27 Jul Morning shift, Q6575) | JEE Arc