Question

An electron of mass $m$ is moving in an electric field $\vec{E} = -2E_0 \hat{i}$ ($E_0 = \text{constant}>0$), with an initial velocity $\vec{v} = v_0 \hat{i}$ ($v_0 = \text{constant}>0$). If $\lambda_0 = \frac{h}{4mv_0}$, its de Broglie wavelength at time $t$ is:

• A. $\frac{4\lambda_0}{\left[ 1 - \frac{E_0 e t}{2m v_0} \right]}$
• B. $\frac{4\lambda_0}{\left[ 1 + \frac{E_0 e t}{2m v_0} \right]}$
• C. $\frac{4\lambda_0}{\left[ 1 + \frac{2E_0 e t}{m v_0} \right]}$
• D. $\frac{4\lambda_0}{\left[ 1 - \frac{2E_0 e t}{m v_0} \right]}$

Answer 1

The Correct Option is C