Question

A golf ball has a mass of 50 g, and a speed of 30
m/s. If the speed can be measured within accuracy
of 1%, then the uncertainty in the position will be
3.5 x 10-33 m
7.5 10-33 cm
2x 10-33 m
1.39 x 1033 km

Answer 1

Explanation:

By using Heisenberg's uncertainty principle,

∆x=h/4πmv∆V

where ,∆x is the uncertainty in position

∆v is the uncertainty in velocity

m is the mass of particle

Given,m=30g =. 0.03kg

∆v=1% of v=1×50/100 = 0.5m/s

h=6.626×10-³⁴Js

Now,∆x = 6.626×10-³⁴/(4×3.14×0.03×0.5)

= 3.5×10-³³m

Therefore,/quad uncertainty in position

= 3.5×10-³³m