36 multiple choice 0.4 points determine the mass of a ball with a wavelength of 3.45×10 - 34 m and a…
36 multiple choice 0.4 points determine the mass of a ball with a wavelength of 3.45×10 - 34 m and a velocity of 6.55 m/s. 293 g 3.41 g 0.293 g 12.6 g 346 g
Answer
Explanation:
Step1: Recall de - Broglie wavelength formula
$\lambda=\frac{h}{mv}$, where $\lambda$ is wavelength, $h = 6.63\times10^{-34}\ J\cdot s$, $m$ is mass and $v$ is velocity. Rearrange for $m$: $m=\frac{h}{\lambda v}$.
Step2: Substitute values
$m=\frac{6.63\times10^{-34}}{3.45\times10^{-34}\times6.55}\ kg$. Calculate $m=\frac{6.63}{3.45\times6.55}\ kg\approx0.293\ kg = 293\ g$.
Answer:
293 g