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Calculate the uncertainty in the velocit...

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)` .

Text Solution

Verified by Experts

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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Calculate the uncertainty in the velocity of a cricket ball of mass 150g , if the uncertainty in its position in of the orer of 1Å . (h=6.6xx10^(-34)kg " "m^(2) s^(-1))

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Knowledge Check

  • If the uncertainty in the position of an electron is 10^(-10) m, then the value of uncertainty in its momentum will be ……………… kgms^(-1) (h= 6.62 xx 10^(-34) J-s]

    A
    `1.05 xx 10^(-24)`
    B
    `1.03 xx 10^(-24)`
    C
    `1.06 xx 10^(-24)`
    D
    `1.08 xx 10^(-24)`

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