Question

A gof ball has a mass of 40g and a speed.of 45m/s .If the speed can be measured within accuracy of 2%.calculate the uncertainty in the position.
what is meaning of accuracy of 2%.why itis called the uncrtainty in the speed is 2%.

Answer 1

Answer:

1.46×10-³³m

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

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