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A golf gall has a mass of 40 g and ...

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

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Uncertainlty in velocity = velocity `xx % 100`
According of Heisenberg uncertainty principle uncertainty in position `Delta x`
`Delta x = (h)/(4pi m Delta v)` where m= 40 gm =`40 xx 10^(3) kg`
`=(6.626 xx 10^(34) j s)/( 4(3.14) (40xx 10^(3)kg) (0.90 ms^(1)))`
`=0.01465 xx 10^(31) j s^(2) m^(-1) kg^(-1)`
`=1.465 xx 10^(33) m :. , 1 J = 1 kg m^(2) s^(2)`
this is nearly `10^(18) ` times smaller than the diameter of a typical atomic nucleus . As menthoned earlier for large particle .the uncertainty principle sets so meaningfulimit to the precision of measurements .
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