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Calculate the uncertainty in the velocit...

Calculate the uncertainty in the velocity of al wagon of mass 2000 kg whose positions is known to an accuracy of `+-10m`.

Text Solution

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Mass of wagon = 2000 kg
Uncertainty in position , `Delta x = +- 10 m`
According to Heisenberg uncertainty principle
`Delta x xx Delta P = h/(4 pi) " or " Delta x xx Delta v = h/(4 pi m)`
or `" " Delta v = h/(4 pi n Delta x)`
`= (6.626 xx 10^(-34) kg m^2 s^(-1))/(4 xx 3.1416 xx (2000 kg) xx (10 m))`
` = 2.636 xx 10^(-39) ms^(-1)`.
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