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A maruti car weighing 3.0xx10^(3)kg is m...

A maruti car weighing `3.0xx10^(3)`kg is moving on a highway. Its speed can be measured with a accuracy of `+-`0.01 mile. Is Heisenberg uncertainty principle valid?

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According to Heisenberg's uncertainty principle,
`Deltax.Deltap=h//4pi`
For the car, `" " m=3.0xx10^(3)kg , Delta upsilon=0.0025 "mile" hr^(-1)`
`Deltav=(0.0025xx(1.6xx10^(3)m))/((60xx60s))=1.1xx10^(-3)ms^(-1)`
`Deltax=0.01"mile" =0.01xx1.6xx10^(3)m=16m`
`Deltax.Deltap=Deltax.m Delta upsilon=(16m)xx(3.0xx10^3)kg)xx(1.1xx10^(-3)ms^(-1))`
`52.8 kg m^(2)s^(-1)=52.8 Js " " (.:' 1J =1kg m^(2)s^(2))...(i)`
`(h)/(4pi)=((6.626xx10^(-34)Js))/(4xx3.143)=52.7xx10^(-36)Js " " ...(ii)`
On comparing (i) and (ii), `Deltax.Deltap gt gt gt h//4pi`.
`:.` Heisenberg's uncertainty principle is not valid for the car.
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