Question:
An electron of mass m with an initial velocity \(\overrightarrow{V} = V_0 \hat{i} (V_0 \gt 0)\) enters an electric field \(\overrightarrow{E} = -E_0 \;\hat{i} (E_0=constant \gt 0)\) at t = 0. If \(\lambda_0\) is its de-Broglie wavelength initially, then its de-Broglie wavelength at time t is
An electron of mass m with an initial velocity \(\overrightarrow{V} = V_0 \hat{i} (V_0 \gt 0)\) enters an electric field \(\overrightarrow{E} = -E_0 \;\hat{i} (E_0=constant \gt 0)\) at t = 0. If \(\lambda_0\) is its de-Broglie wavelength initially, then its de-Broglie wavelength at time t is
Updated On: Apr 21, 2025
- \(\frac{\lambda_0}{\left(1+\frac{eE_0}{mV_0}t\right)}\)
- \(\lambda_0t\)
- \(\lambda_0\left(1+\frac{eE_0}{mV_0}t\right)\)
- \(\lambda_0\)
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The Correct Option is A
Solution and Explanation
The correct option is (A): \(\frac{\lambda_0}{\left(1+\frac{eE_0}{mV_0}t\right)}\)
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