Final answer:
The velocity of the marble is approximately 2.295 × 10^-8 m/s.
Step-by-step explanation:
To determine the velocity of a marble with a given wavelength, we can use the equation λ = h/mv, where λ represents the wavelength, h is Planck's constant, m is the mass of the marble, and v is its velocity.
We are given the mass of the marble as 8.33 grams. To calculate the velocity, we need to rearrange the equation to solve for v.
v = h/(m * λ)
Plugging in the values, we get:
v = (6.626 × 10^-34 J·s) / (8.33 kg × 3.46 × 10^-33 m)
Solving this equation, we find that the velocity of the marble is approximately 2.295 × 10^-8 m/s.