What is the wavelength of the matter wave associated with a $0.50 - \mathrm { kg }$ ball moving at $25 \mathrm {~m} / \mathrm { s }$ ? $( h =$ $\left. 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)$
A) $5.3 \times 10 ^ { - 35 } \mathrm {~m}$
B) $3.5 \times 10^{ - 33} \mathrm {~m}$
C) $5.3 \times 10 ^ { - 33 } \mathrm {~m}$
D) $3.5 \times 10 ^ { - 35 } \mathrm {~m}$

Question

Quizplus · Accepted Answer

The wavelength $\lambda$ of a matter wave is given by the de Broglie equation $\lambda = \frac{h}{mv}$, where $h$ is Planck's constant, $m$ is the mass of the object, and $v$ is its velocity. Substituting the given values, $\lambda = \frac{6.626 \times 10^{-34}}{0.50 \times 25} = 5.3 \times 10^{-35} \, \mathrm{m}$.

What Is the Wavelength of the Matter Wave Associated with A 0.50