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

Question

( A ) $\frac{\lambda_0}{ (1 + \frac{eE_0}{mV_0}t ) }$
( B ) $\lambda_0 t$
( C ) $\lambda ( 1 + \frac{eE_0}{mV_0} t)$
( D ) $\lambda_0$