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A golf ball has a mass of 40 g , and a s...

A golf ball has a mass of 40 g , and a speed of 45m/s. if the speed can be measured with in accuracy of 2 % . Calculate the uncertainty in the position .

Text Solution

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`Delta v` = The uncertainty in speed
`= 45 xx (2)/(100) = 0.9 ms^(-1)`
Using the equation, `Delta x = (h)/(4pi Delta v xx m)`
`Delta x = (6.626 xx 10^(-34) kgm^(2)s^(-1))/(4 xx 3.1416 xx 0.9ms^(-1) xx 40 xx 10^(-3)kg)`
`Delta x = 1.46 xx 10^(-33) m`
This is nearly `10^(18)` times smaller than the diameter of a typical atomic nucleus.
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