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An electron (mass \( m \) ) with an initial velocity \( \mathbf{v}=v_{0} \hat{\mathbf{i}}\left(v_{0}0\right) \) is in an electric field \( \mathbf{E}=-E_{0} \hat{\mathbf{i}}\left(E_{0}=\right. \) constant \( \left.0\right) \). It's de Broglie
\( \mathrm{P} \) wavelength at time \( t \) is given by

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(a) \( \frac{\lambda_{0}}{\left(1+\frac{e E_{0}}{m} \frac{t}{v_{0}}\right)} \)
(b) \( \lambda_{0}\left(1+\frac{e E_{0} t}{m v_{0}}\right) \)
(c) \( \lambda_{0} \)
(d) \( \lambda_{0} t \).
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