Determine the velocity of a marble (m = 8.66 g)with a wavelength of 3.46 × 10^-33 m. A)45.2 m s^-1 B)11.3 m s^-1 C)22.1 m s^-1 D)38.8 m s^-1 E)52.9 m s^-1

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 of the marble. We can rearrange this equation to solve for the momentum: p = h/λ.

We are given the wavelength, so we can plug it into the equation and solve for the momentum:

p = (6.626 x 10^-34 J s)/(3.46 x 10^-33 m) 
p = 1.92 x 10^-1 kg*m/s

Now that we have the momentum, we can find the velocity using the equation v = p/m, where m is the mass of the marble:

v = (1.92 x 10^-1 kg*m/s)/(8.66 x 10^-3 kg) 
v ≈ 22.1 m/s

Therefore, the best choice is C.

Determine the Velocity of a Marble (M = 8