Question

A golf ball has a mass of 40g and a speed of 45 m/s. if tge speed can be meaured within accuracy of 2% calculate the uncertainty in position

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Answer 1

Answer:

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Explanation:

Use Heisenberg's uncertainty principle.

For example [Δx=  

4πmΔv

h

​  

]

Here,  Δx  is the uncertainty in the position.

Δv is the uncertainty in velocity

m is the mass of Particle.

Given,m=40g=0.04kg

Δv=2%ofv=2×  

100

45

​  

=0.9m/s

h=6.626×10  

−34

J.s

Now,Δx=  

(4×3.14×0.04×0.9)

6.626×10  

−34

 

​  

 

=1.4654×10  

−33

m