Kelvi

An electron of mass $m$ with an initial velocity $\mathbf{v} = v_0 \hat{i}$ (where $v_0 > 0)$ enters an electric field $\mathbf{E} = -E_0 \hat{i}$ (where $E_0$ is constant and greater than zero) at $t = 0.$ If $\lambda_0$ is its de-Broglie wavelength initially, then its de-Broglie wavelength at time $t$ is

hard

Dual Nature of Radiation and Matter

2018

physics

$\lambda_0 t$

$\lambda_0 \left( 1 + \frac{eE_0 t}{m v_0} \right)$

Explanation

To solve this problem, we need to determine the change in the de-Broglie wavelength of an electron as it moves through an electric field. $\\$ Given: $\\$ • Initial velocity of the electron $\mathbf{v} = v_0 \hat{i}. \\$

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