A baseball with a mass of 150 g is moving at a velocity of 40 m/s (90 mph).If the uncertainty in the velocity is 0.1 m/s,the uncertainty in position A)may be zero. B)must be less than or equal to 4 × 10^-33 m. C)must be 4 × 10^-33 m. D)must be greater than or equal to 4 × 10^-33 m.

Question

Quizplus · Accepted Answer

According to the Heisenberg uncertainty principle, the product of the uncertainties in position and velocity must be greater than or equal to a constant (h/2π). Therefore, the uncertainty in position can be calculated as follows:
Δx*Δv ≥ h/2π
Δx*0.1 ≥ 6.626 x 10^-34 / (2 x 3.1416)
Δx ≥ 4 x 10^-33 m
Therefore, the uncertainty in position must be greater than or equal to 4 x 10^-33 m. Choice D is the only option that reflects this.

A Baseball with a Mass of 150 G Is Moving