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In an atom, an electron is moving with a...

In an atom, an electron is moving with a speed of `600m//s` with an accuracy of `0.005%` certainity with which the positive of the electron can be located is `[h = 6.6 xx 10^(-34)Js,m = 9.1 xx 10^(-31)kg]`

A

`1.52 xx 10^(-4)` m

B

`5.1 xx 10^(-3)` m

C

`1.92 xx 10^(-3)` m

D

`3.84 xx 10^(-3)` m

Text Solution

Verified by Experts

The correct Answer is:
C
`Delta x .m.Delta v ge (h)/(4pi)" "Deltax ge (h)/(4pi.m.Deltav)`
`Delta x ge (6.6256 xx 10^(-34))/(4 xx 3.14 xx 9.1 xx 10^(-31) xx (600 xx 0.005)/(100))`
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Knowledge Check

  • In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005%. Certainty with which the position of the electron can be located is, (h=6.6xx10^(-34)kgm^(2)s^(-1),m_(e)=9.1xx10^(-31)kg)

    A
    `1.52xx10^(-4)m`
    B
    `5.10xx10^(-3)m`
    C
    `1.92xx10^(-3)m`
    D
    `3.84xx10^(-3)m`

  • In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005%. Certainity with which the position of the electron can be located is (h = 6.6 xx 10^(-34) kg m^(2) s^(-1), " mass of electron, " m_(e) = 9.1 xx 10^(-31) kg)

    A
    `1.52 xx 10^(-4) m`
    B
    `5.10 xx 10^(-3) m`
    C
    `1.92 xx 10^(-3)m`
    D
    `3.84 xx 10^(-3) m`

  • In an atom , an electron is moving with a speed of 600 m/s with an accuracy of 0.05% . The certainty with which the position of the electron can be located is (h = 6.6 xx 10^(-34) kgm^(2)s^(-1) , mass of electron , e_(m) = 9.1 xx 10^(-31) kg ):

    A
    `5.10 xx 10^(-3)`m
    B
    `1.75 xx 10^(-3)` m
    C
    `3.83 xx 10^(-3)` m
    D
    `1.52 xx 10^(-4)`m

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