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The Speeds of the fiat and ferrari racin...

The Speeds of the fiat and ferrari racing cars are recorded to `+-4.5xx10^(-4)msec^(-1)`. Assuming the track distance to be known within `+-16m`, is the uncertainty principle violated for a 3500 kg car?

Text Solution

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`DeltaxDeltav=4.5xx10^(-4)xx16`
`=7.2xx10^(-3)m^(2)sec^(-1)` . . . .(i)
`(h)/(4pim)=(6.626xx10^(-34))/(4xx3.14xx3500)` . . .(ii)
`=1.507xx10^(-38)`
Since, `Deltax Deltav ge h//4pim`.
Hence, Heisenberg uncertainty principle is not violated.
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