Understand the de Broglie wavelength formula.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Understand the de Broglie wavelength formula.
The de Broglie wavelength $\lambda$ of a particle is given by:
$$\lambda = \frac{h}{p}$$
where $h$ is Planck's constant and $p$ is the momentum of the particle.
Step 2: Relate momentum to acceleration by an electric field.
If a charged particle with charge $q$ and mass $m$ is accelerated from rest by a constant electric field $E$ for a time $t$, its acceleration $a$ is given by Newton's second law:
$$F = qE = ma$$
$$a = \frac{qE}{m}$$
The velocity $v$ after time $t$ is:
$$v = at = \frac
