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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`.

A

`1.5 xx 10^-4 m`

B

`2.5 xx 10^-4 m`

C

`3.5 xx 10^-4 m`

D

`4.5 xx 10^-4 m`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) `Delta x, Delta v ge (h)/(4 pi m)`
`Delta v ge (h)/(Delta x. 4 pi. M)`
=`(6.6 xx 10^-34)/(3 xx 10^-10 xx 10^-2 m xx 4 xx 3.14 xx 1.1 xx 10^-27)`
=`1.5 xx 10^-4 m`.
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Knowledge Check

  • 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`
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    D
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  • 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
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    `1.6 xx 10^(-30)`m
    D
    `1.6 xx 10^(-29)`m

  • The uncertainty in the velocity of moving bullet of mass 10 g, when uncertainty in its position is 10^(-5) m is

    A
    `5.2xx10^(-28)m//s`
    B
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