Question

Problem 2016
A golf ball has a mass of 40g, and a speed
of 45 m/s. If the speed can be measured
within accuracy of 2%, calculate the
uncertainty in the position.
Solution
20%

please help me...​

Answer 1

Explanation:

Mass of the ball 40g−40×10−3kg

The uncertainty in the speed

Δv=45×2100=0.9ms−1

Δx=h4πmΔv=6.626×10−34Js4×3.14×(40×10−3kg)(0.9ms−1)=1.46×10−33m

Answer 2

Answer:

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