Determine the velocity of a marble (m = 8.11 g)with a wavelength of 3.46 × 10^-33 m. A) 42.3 m/s B) 2.36 m/s C) 23.6 m/s D) 38.8 m/s E) 52.9 m/s

Question

Quizplus · Accepted Answer

To find the velocity of the marble, we can use the de Broglie wavelength formula: λ = h / (mv), where λ is the wavelength, h is Planck's constant (6.626 × 10^-34 m^2 kg / s), m is the mass in kg, and v is the velocity in m/s. Rearranging the formula to solve for v gives v = h / (mλ). Converting the mass of the marble to kg (8.11 g = 8.11 × 10^-3 kg) and plugging in the given values: v = (6.626 × 10^-34) / (8.11 × 10^-3 kg * 3.46 × 10^-34 m) = 23.6 m/s.

Determine the Velocity of a Marble (M = 8