An electron of mass $$m$$ is moving in an electric field $$\vec{E} = -2E_o \hat{i}$$ ($$E_o$$ = constant > 0), with an initial velocity $$\vec{V} = v_o \hat{i}$$ ($$v_o$$ = constant > 0). If $$\lambda_o = \frac{h}{4mv_o}$$, its de Broglie wavelength at time $$t$$ is _______. ($$e$$ = charge of electron)

A

$$\frac{4\lambda_o}{\left[1 - \frac{E_o e \cdot t}{2m \cdot v_o}\right]}$$

B

$$\frac{4\lambda_o}{\left[1 + \frac{E_o e \cdot t}{2m \cdot v_o}\right]}$$

C

$$\frac{4\lambda_o}{\left[1 + \frac{2E_o e \cdot t}{m \cdot v_o}\right]}$$

D

$$\frac{4\lambda_o}{\left[1 - \frac{2E_o e \cdot t}{m \cdot v_o}\right]}$$