An electron with initial velocity... |JEE Main 2022 | Modern

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JEE MAIN 2022

27-07-22 S1

Question

An electron (mass $m$ ) 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 $t=0$ de Broglie wavelength is $\lambda_0=\frac{h}{m v_0}$, then its de Broglie wavelength after time $t$ is given by [MP/Toug\#]

Select the correct option:

A

$\lambda_0$

B

$\lambda_0\left(1+\frac{e E_0 t}{m v_0}\right)$

C

$\lambda_0 t$

D

$\frac{\lambda_0}{\left(1+\frac{e E_0 t}{m v_0}\right)}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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