A golf ball has a mass 40g and a speed of 45m/s . If the speed can be measured with accuracy of 2% , calculate the uncertainty in position.
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according to Hesienberg's principal
∆x X m∆v = h/4π
or ∆x = h/4πm∆v
∆v = 45X 2/100 = 0.9m/s
m= 40g = 4X 10^-2kg
now
∆x = 6.626 X 10 ^ -34/(4 X 3.14X 4 X 10^-2X 0.9)
= 1.46 X 10^ -33 m
∆x X m∆v = h/4π
or ∆x = h/4πm∆v
∆v = 45X 2/100 = 0.9m/s
m= 40g = 4X 10^-2kg
now
∆x = 6.626 X 10 ^ -34/(4 X 3.14X 4 X 10^-2X 0.9)
= 1.46 X 10^ -33 m
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