1.

Calculate the uncertainty in the velocity of a wagon of mass 3000kg whose position is known to an accuracy of± 10 pm (Planck’s constant = 6.626 xx 10^(−34) Kg m^2 s^(-1) .

Answer»

Solution :Here we are given
`m = 3000 kg `
` DELTA x = ` 10PM
` = 10 XX 10^(-12) m = 10^(-11) m`
` THEREFORE ` By uncertainly principle
` Delta v = (h)/(4pi xx m xx Delta x)`
` = (6.626 xx 10^(-34))/(4 xx 22/7 xx 3000 xx 10^(-11))`
` = 1.76 xx 10^(-27) ms^(-1)`


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