A 10.0-kg mass moving with a velocity of 100 m/s has a de Broglie wavelength of approximately A) 1.98 × 10^-22 m. B) 1.51 × 10³⁶ m. C) 6.62 × 10^-33 m. D) 6.62 × 10^-37 m. E) 6.62 × 10^-31 m.

Question

Quizplus · Accepted Answer

The de Broglie wavelength is given by the equation λ = h/p, where h is Planck's constant and p is the momentum of the particle. The momentum is given by p = mv, where m is the mass and v is the velocity. Thus, λ = h/mv. Plugging in the given values, we get λ = (6.626 x 10^-34 J s) / (10 kg)(100 m/s) = 6.626 x 10^-37 m. Therefore, the best choice is D.

A 100-Kg Mass Moving with a Velocity of 100 M/s Has