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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

Verified by Experts

According to uncertainty principle,
`Deltax.Deltap=(h)/(4pi)or Deltax.mDeltaupsilon=(h)/(4 pi) or Delta upsilon=(h)/(4 pi m Deltax), h=6.626 xx 10^(-34)kgm^(2)s^(-1)`
`m=150 g = 0.15 kg , Delta x=1 Ã…=1xx10^(-10)m`
`Delta upsilon=((6.626 xx 10^(-34)kg m^(2)s^(-1)))/(4xx3.143 xx (0.15 kg)xx (10^(-10)m))=3.51 xx 10^(-24) ms^(-1)`.
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