Question

a cricket ball has mass of 52.46 grams and a speed of 100m/s. if the speed can be measured with an accuracy 1%, the uncertainty in the position is in meters​

Answer 1

1.46×10

−33

m

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