The wavelength of a 45-kg teenager moving at 5 m/s on a skateboard is about:
A)5 * 10-37 m.
B)3 * 10-36 m.
C)7 * 10-34 m.
D)0.1 m.
E)5 m.

Question

Quizplus · Accepted Answer

The wavelength of a 45-kg teenager moving at 5 m/s on a skateboard can be calculated using the de Broglie wavelength equation: λ = h/mv, where h is Planck's constant, m is the mass of the teenager, and v is the velocity of the teenager. Plugging in the values, we get λ = (6.63 × 10^-34 J·s)/(45 kg × 5 m/s) = 2.96 × 10^-36 m. This can be expressed in scientific notation as 2.96 × 10^-6 Å, which is equivalent to 3 × 10^-36 m or 3 × 10^-9 nm, or 3 femtometers. Choice B is the closest option to this value.

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