Which of the following electrons will have the smallest de Broglie wavelength?
A)an electron moving 220 m/sec
B)an electron moving 20 mi/hr
C)an electron moving 75 km/hr
D)an electron moving at 25% the speed of light
E)an electron at rest with no velocity

Question

Quizplus · Accepted Answer

The de Broglie wavelength ($\lambda$) is given by the equation $\lambda = \frac{h}{mv}$, where $h$ is Planck's constant, $m$ is the mass of the particle, and $v$ is the velocity of the particle. The smaller the wavelength, the higher the velocity of the particle. An electron moving at 25% the speed of light (option D) would have the highest velocity among the options provided, thus the smallest de Broglie wavelength.

Which of the Following Electrons Will Have the Smallest De