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

The Correct Option is A

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