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Calculate the minimum uncertainty in vel...

Calculate the minimum uncertainty in velocity of a particle of mass `1.1 xx 10^(-27) kg` if uncertainty in its position is `3 xx 10^(-10)cm`. `(h= 6.62 xx 10^(-34)kg.m^(2) s^(-1))`

Text Solution

Verified by Experts

The correct Answer is:
`1.59 xx 10^(4) ms^(-1)`
`Delta x = 3 xx 10^(-10) cm 3 xx 10^(-12) m`
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Calculate the uncertainty in the velocity of a particle of mass 1.1xx10^(-27) kg if the uncertainty in the uncertainty in its position is 3xx10^(-10)cm .

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Knowledge Check

  • The uncertainty in the momentum of a particle is 3.3 xx10^(-2) kg ms^(-1) the uncertainty in its position will be

    A
    `1.6 xx 10^(-33)`m
    B
    `1.6 xx 10^(-32)`m
    C
    `1.6 xx 10^(-30)`m
    D
    `1.6 xx 10^(-29)`m

  • Calculate the uncertainty in velocity of a circuit ball of mass 150 g if the uncertainty in its position is 1 Å (h = 6.6 xx 10^-34 kg m^2 s^-1) .

    A
    `3.5 xx 10^-24 m s^-1`
    B
    `4.5 xx 10^-24 m s^-1`
    C
    `3.5 xx 10^-24 cm s^-1`
    D
    `4.5 xx 10^-24 cm s^-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)`

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    The uncertainty in the velocity of a particle of mass 6.626 xx 10^(-31) kg is 1 xx 10^6 ms^(-1) . What is the uncertainty in its position (in nm) ? (h = 6.626 xx 10^(-34) Js)

    The uncertainty in the velocity of particle of mass 6.626xx10^(-28) kg is 10^(6) m/sec. What is the uncertaintly in its position in nm?

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