The frequency and wavelength of the matter wave associated with a 10-eV free electron are: A)1.5* 10³⁴ Hz, 3.9 * 10^-10 m B)1.5 * 10³⁴ Hz, 1.3 *10^-34 m C)2.4 *10¹⁵ Hz, 1.2 * 10^-9 m D)2.4*10¹⁵ Hz, 3.9 *10^-10 m E)4.8 *10¹⁵ Hz, 1.9 * 10^-10 m

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Quizplus · Accepted Answer

The frequency and wavelength of a matter wave can be calculated using the de Broglie wavelength formula, $\lambda = \frac{h}{p}$, where $h$ is Planck's constant and $p$ is the momentum of the particle. For a free electron with a given energy, its momentum can be derived from its kinetic energy, and subsequently, its frequency can be calculated using the relation $f = \frac{E}{h}$, where $E$ is the energy of the electron. The correct values align with the principles of quantum mechanics and the calculations for a 10-eV electron.

The Frequency and Wavelength of the Matter Wave Associated with a 10-EV