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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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The uncertainty in speed,
`Delta v = 45 xx 2/100 = 0.9 ms^(-1)`
`m = 40 xx 10^(-3) kg`
`Delta x = h/(4 pi m Delta v)`
`= (6.626 xx 10^(-34) kg m^2 s^(-1))/(4 xx 3.14 xx 40 xx 10^(-3) kg xx 0.9 m s^(-1))`
`= 1.46 xx 10^(-33) m`.
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