Question

Golf ball has a mass of 50 gram and a speed of 30 metre per second if the speed can be measured with an accuracy of 1% then the uncertainty in the position will be ​

Answer 1

Answer:

3.5×10  

−33

m

Explanation:

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