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 $\lambda_0 = \frac{h}{mv_0}$, its de Broglie wavelength at time $t$ is . . . . . . .

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

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