The wavelength of a 45-kg teenager moving at 5 m/s on a skateboard is about

Question

Quizplus · Accepted Answer

This is a calculation of the de Broglie wavelength of a particle, which is given by the equation wavelength = h/p, where h is Planck's constant and p is the momentum of the particle. In this case, we have the mass and velocity of the teenager, so we can calculate the momentum as p = mv = 45 kg * 5 m/s = 225 kg*m/s. Plugging in h = 6.626 x 10^-34 J*s, we get wavelength = 3.0 x 10^-34 m / 225 kg*m/s = 1.33 x 10^-36 m = 1.33 x 10^-9 nm. Converting to meters, we get 1.33 x 10^-9 m, which is approximately equal to 3 x 10^-10 m, or choice B.

The Wavelength of a 45-Kg Teenager Moving at 5 M/s