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De Broglie wavelength of an electron moving in an electric or magnetic field after time t

This type of question, asked 4 times: 27 Jul 2022, 24 Jan 2025, 2 Apr 2025, 5 Apr 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    27 Jul 2022

    17
    An electron (mass mm ) with an initial velocity v→=v0i^(v0>0)\overrightarrow{v}=v_{0}\widehat{i}\left( v_{0}> 0 \right) is moving in an electric field E→=−E0i^(E0>0)\overrightarrow{E}= -E_{0}\widehat{i}\left( E_{0}> 0 \right) where E0E_{0} is constant. If at t=0t = 0 de Broglie wavelength is λ0=hmv0\lambda_{0}=\frac{h}{mv_{0}}, then its de Broglie wavelength after time tt is given by

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  2. Question 2

    24 Jan 2025

    17
    An electron of mass ' mm ' with an initial velocity v→=v0i^(v0>0)\overrightarrow{v}=v_{0}\widehat{i}\left( v_{0}> 0 \right) enters an electric field E→=−E0k^\overrightarrow{E}= -E_{0}\widehat{k}. If the initial de Broglie wavelength is λ0\lambda_{0}, the value after time tt would be :-

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  3. Question 3

    2 Apr 2025

    80
    An electron with mass ' m ' with an initial velocity (t=0)v→=v0i^ (v0>0)(t = 0)\overrightarrow{v}=v_{0}\widehat{i}\ \left( v_{0}> 0 \right) enters a magnetic field B→=B0j^\overrightarrow{B}=B_{0}\widehat{j}. If the initial de-Broglie wavelength at t=0t= 0 is λ0\lambda_{0} then its value after time ' tt ' would be :

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  4. Question 4

    5 Apr 2026 S1

    10
    An electron of mass mm is moving in an electric field E→=−2E0i^\overrightarrow{E} = -2E_{0}\widehat{i} (E0E_{0} = constant >0> 0), with an initial velocity V→=v0i^\overrightarrow{V} = v_{0}\widehat{i} (v0v_{0} = constant >0> 0). If λ0=h4mv0\lambda_{0}=\frac{h}{4mv_{0}}, its de Broglie wavelength at time t is ____\_\_\_\_ . ( e=e = charge of electron)

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