Answer to Question #132293 in Mechanics | Relativity for max

Question

a ball of mass 10g with speed 100m/s find its wavelength.

Answer 1

Explanations & Calculations

• when it is needed to estimate the wave-like behavior of particles De-Broglie concept is employed.
• If the (De-Broglie) wavelength of this ball is $\small \lambda$ then,

$\qquad\qquad \begin{aligned} \small \lambda &= \small \frac{h}{p}=\frac{h}{mv}\\ &= \small \frac{6.626\times10^{-34}Js}{0.010kg\times100ms^{-1}}\\ &=\small \bold{6.626\times10^{-34}m} \end{aligned}$

• h = Planck constant, mv= momentum of the particle
• It should be noted that the wave-like behavior becomes negligible as the particle becomes massive.
• This concept is only valid for moving particles.