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Calculate the uncertainty in the velocit...

Calculate the uncertainty in the velocity of a cricket ball of mass `150g`, if the uncertainty in its position in of the orer of `1Å`.
`(h=6.6xx10^(-34)kg " "m^(2) s^(-1))`

Text Solution

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Mass of ball
`m=150g = 150xx10^(-3)kg = 0.150kg`
Uncertainty in position, `Deltax = 1 Å = 10^(-10)m`
`Deltax xx mDeltav=(h)/(4pi)`
`Deltav=(h)/(4pixxDeltax xxm)`
`=(6.626xx10^(-34)kgm^(2)s^(-1))/(4xx3.14xx10^(-10)mxx0.150kg)`
`3.52xx10^(-24)ms^(-1)`
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