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The mass of electron is 9.11xx10^(-31)kg...

The mass of electron is `9.11xx10^(-31)`kg. Calculate the uncertainty in its velocity if the uncertainty in position is the uncertainty in position is of the order of `+-10`pm. `(h=6.6xx10^(-34)"kg"m^(2)s^(-1))`.

Text Solution

Verified by Experts

The correct Answer is:
`5.76xx10^(6)m s^(-1)`
According to uncertainty principle, `Deltax.*m delta v=(h)/(4pi) or Deltav=(h)/(4pi m Deltax)`
`h=6.626xx10^(-34) "kg" m^(2)s^(-1), Delta x=10xx10^(-12)m=10^(-11)m, m=9.11xx10^(-31) `kg
`:. " " Deltav=((6.626xx10^(-34)"kg"m^(2)s^(-1)))/(4xx3.143xx(9.11xx10^(-31)"kg")(10^(-11)m))=5.76xx10^(6)ms^(-1)`.
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Knowledge Check

  • Calculate the uncertainity in velocity of a cricket ball of mass 150 g if the uncertainity in its position is of the order of 1 Å (h=6.6xx10^(-34)"kg m"^(2)s^(-1))

    A
    `3.499 xx 10^(-24)ms^(-1)`
    B
    `3.499 xx 10^(-21) ms^(-1)`
    C
    `3.499x10^(-20)ms^(-1)`
    D
    `3.499xx10^(-23)ms^(-1)`

  • Calculate the uncertainity in velocity of a cricket ball of mass 150 g if the uncertainity in its position is of the order of 1 Å (h=6.6xx10^(-34)"kg m"^(2)s^(-1))

    A
    `3.499 xx 10^(-24)ms^(-1)`
    B
    `3.499 xx 10^(-21) ms^(-1)`
    C
    `3.499x10^(-20)ms^(-1)`
    D
    `3.499xx10^(-23)ms^(-1)`

  • Calculate the uncertainty in velocity if the uncertainty in the position of a moving bullet of mass 10 gm is 10^(-5)m .

    A
    `5.2xx10^(-28)m//sec`
    B
    `3.0xx10^(-28)m//sec`
    C
    `5.2xx10^(-22)m//sec`
    D
    `3xx10^(-22)m//sec`

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