Question

Determine the velocity of a marble with a mass of 8.66 g and a wavelength of 3.46 x 10^-33m.

A. 45.2 m/s
B. 0.0221 m/s
C. 0.0452 m/s
D. 52.9 m/s
E. 22.1 m/s

Answer 1

Answer: E. 22.1 m/s

Step-by-step explanation:

The DeBroglie wavelength equation will be used for this problem:

λ = h/p (λ is wavelength and p is momentum)

p = m*v (m is mass and v is velocity)

λ = h/(m*v)

Rearrange equation to get: v = h/(m*λ)

m needs to be in kg so that the units match up: 8.66 g = 0.00866 kg

v =
`(6.626*10^(-34))/(0.00866*3.46*10^(-33))` = 22.1 m/s