What is the wavelength of the matter wave associated with a 0.50-kg ball moving at 25 m/s? (h = 6.626 × 10^-34 J ∙ s) A) 3.5 × 10^-35 m B) 5.3 × 10^-35 m C) 3.5 × 10^-33 m D) 5.3 × 10^-33 m

Question

Quizplus · Accepted Answer

The wavelength of a matter wave is given by:
λ = h/p
where h is the Planck constant and p is the momentum of the object.
The momentum of the ball can be calculated as:
p = m*v
where m is the mass of the ball and v is its velocity.
Substituting the given values, we get:
p = 0.50 kg * 25 m/s = 12.5 kg•m/s
Substituting p and h into the equation for λ, we get:
λ = (6.626 × 10^-34 J ∙ s)/(12.5 kg•m/s) = 5.3 × 10^-35 m
Therefore, the wavelength of the matter wave associated with the ball is 5.3 × 10^-35 m, which is choice B.

What Is the Wavelength of the Matter Wave Associated with a 0.50-Kg