Question

A golf ball has a mass of 50 g, and a speed of 30 m/s. If the speed can be measured within accuracy of 1%, then the uncertainty in the position will be

Answer 1

Answer:

By using Heisenberg's uncertainty principle,

∆x=

4πmvΔV

h

where, ∆x is the uncertainty in position

∆v is the uncertainty in velocity

m is the mass of Particle

Given,m=30g=0.03Kg

Δv=1%ofv=1×

100

50

=0.5m/s

h=6.626×10

−34

Js

Now,Δx=

(4×3.14×0.03×0.5)

6.626×10

−34

=3.5×10

−33

m

Therefore,\quad uncertainity in position =3.5×10

−33

m