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Calculate the uncertainty in the velocit...

Calculate the uncertainty in the velocity of a wagon of mass 3000 kg whose position is known to an accuracy of `+- 10` pm. (Planck's contant = `6.626 xx 10^(-34) kg m^2 s^(-1))`
Given : `m = 3000kg , Deltax = 10 p m`
`= 10 xx 10^(-12) m = 10^(-11) m`

Text Solution

Verified by Experts

By uncertainty principle,
`Deltav = h/(4 pi xx m xx Deltax)`
`= (6.626 xx 10^(-34))/(4 xx 22/7 xx 3000 xx 10^(-11)) ms^(-1)`
`= 1.76 xx 10^(-27) ms^(-1)`
`Delta v = 1.76 xx 10^(-27) ms^(-1)`.
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