Question

Assume that you are travelling at a speed of 90 km/h in a small car with a mass of 1050 kg. If the uncertainty in the velocity of the car is 1% (Δv, = 0.9 kn/h), what is the uncertainty (in meters) in the position of the car?

(a) Δx ≥ 1 x 10-35 m

(b) Δx ≥ 2 x 10-37 m

(c) Δx ≥ 2 x 10-36 m

(d) Δx ≥ 4 x 10-38 m

Answer 1

Correct option (b) Δx ≥ 2 x 10-37 m

Explanation:

The uncertainty in the position of the car is far smaller than the uncertainty in the position of an electron in a hydrogen atom (3 x 10-10 m) and far too small value to have any measurable consequences.