Answer:9.84x 10^-31m
Explanation: 9.84x 10^-31m
Heisenberg uncertainty principle states that says that the position and momentum of a particle cannot be known at the same time and accurately. and that the values of position and momentum all times must be greater than h/4π.
Using the formula for Heisenberg Uncertainty principle
Δx. Δp ≥ h / 4π
=Δx. m ΔV ≥ h / 4π
where h = Planck’s constant = 6.62607004 × 10-34 m2 kg / s
Δx is the uncertainty in position
Δp is the uncertainty in momentum
m = mass
Δv=is the uncertainty in velocity
Given,
v = 0.80m/s,
m = 0.67 g = 0.67 g / 1000
= 0.00067 kg
h = 6.62607004 × 10-34 m2 kg / s
uncertainty in the velocity is 0.1 m/s.
Δv = 0.80×0.1 = 0.080m/s
Δx. m ΔV ≥ h / 4π
Δx ≥ h / 4πm ΔV
6.62607004 × 10-34 / 4 π x 0.08 x 0.00067
=6.62607004 × 10-34 / 4 x3.14 5.3 x 10^-5 = 9.84x 10^-31m
