The wavelength of a tennis ball weighing 70.0 g and travelling at a speed of 40.0 miles/hour is _____.

Question

Quizplus · Accepted Answer

The wavelength of an object can be calculated using the de Broglie wavelength formula, $\lambda = \frac{h}{mv}$, where $h$ is Planck's constant ($6.626 \times 10^{-34} m^2kg/s$), $m$ is the mass in kilograms, and $v$ is the velocity in meters per second. First, convert the mass of the tennis ball to kilograms ($70.0 g = 0.07 kg$) and the speed to meters per second ($40.0 miles/hour \approx 17.88 m/s$). Substituting these values into the formula gives a wavelength on the order of $10^{-34}$ meters, which matches option C.

The Wavelength of a Tennis Ball Weighing 70