Here:
velocity = 2*10^-6 m/s
Δv = 1.0% of velocity
Δv = 1.0*2*10^-6/100
Δv = 2*10^-8 m/s
use Heisenberg uncertainty principle,
Δx*Δv = h/(4*pi*m)
Here:
Δv = 2*10^-8 m/s
mass, m = 1.7*10^-15 g
= 1.7*10^-18 kg
Putting values,
Δx*(2*10^-8) = (6.626*10^-34)/(4*3.14*1.7*10^-18)
Δx*(2*10^-8) = 3.103*10^-17
Δx = 1.552*10^-9 m
Answer: 1.55*10^-9 m
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