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A golf ball has a mass of 40g and a spee...

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

Text Solution

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Mass of the ball `40 g - 40 xx10^(-3) kg`
The uncertainty in the speed
`Deltav = 45 xx (2)/(100)=0.9ms^(-1)`
`Deltax = (h)/(4pimDeltav)=(6.626xx10^(-34)Js)/(4xx3.14xx(40xx10^(-3)kg)(0.9ms^(-1)))=1.46xx10^(-33)m`.
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