Question

An electron of mass m with an initial velocity $\overrightarrow{V} = V_0 \hat{i} (V_0 \gt 0)$ enters an electric field $\overrightarrow{E} = -E_0 \;\hat{i} (E_0=constant \gt 0)$ at t = 0. If $\lambda_0$ is its de-Broglie wavelength initially, then its de-Broglie wavelength at time t is

• A. $\frac{\lambda_0}{\left(1+\frac{eE_0}{mV_0}t\right)}$
• B. $\lambda_0t$
• C. $\lambda_0\left(1+\frac{eE_0}{mV_0}t\right)$
• D. $\lambda_0$

Answer 1

Answer: (A)

$\frac{\lambda_0}{\left(1+\frac{eE_0}{mV_0}t\right)}$

Answer 2

The correct option is (A): $\frac{\lambda_0}{\left(1+\frac{eE_0}{mV_0}t\right)}$