A person of mass 50. kg has a wavelength of 4.42 × 10^-36 m when running. How fast is she running? A) 3 m/s B) 1 m/s C) 2 m/s D) 4 m/s E) 5 m/s

Question

Quizplus · Accepted Answer

The de Broglie wavelength is given by λ = h/p, where h is Planck's constant and p is the momentum. The momentum is given by p = mv, where m is the mass and v is the velocity. Substituting these equations into the first equation, we get λ = h/mv. Solving for v, we get v = h/mλ. Plugging in the given values, we get v = (6.626 × 10^-34 J s)/(50 kg)(4.42 × 10^-36 m) = 3 m/s.

A Person of Mass 50