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An electron (mass \( m \) ) with an initial velocity
\( \mathrm{P} \)
\( \vec{v}=v_{0} \hat{i}\left(v_{0}0\right) \) is in an electric field \( \vec{E}=-E_{0} \hat{i} \)
W
\( \left(\mathrm{E}_{0}=\right. \) constant \( \left.0\right) \). It's de-Broglie wavelength at time \( t \) is given by
(1) \( \frac{\lambda_{0}}{\left(1+\frac{e E_{0}}{m} \frac{t}{v_{0}}\right)} \)
(2)
\( \lambda_{0}\left(1+\frac{e E_{0} t}{m v_{0}}\right) \)
(3) \( \lambda_{0} \)
(4)
\( \lambda_{0} t \)
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