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

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 localized is :
` ( h = 6.6 xx 10^(-34) kg m^2 s^(-1)` ,
mass of electron ` (e_m) = 9. 1 xx10^(-31) kg)`.

A

`5.10xx10^(-3)m`

B

`1.92xx10^(-3)m`

C

`3.84xx10^(-3)m`

D

`1.52xx10^(-3)m`

Text Solution

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The correct Answer is:
B
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Calculate the uncertainty in the position of an electron if the uncertainty in its velocity is 5.7 xx 10^(5) m//sec ( h = 6.6 xx 10^(-34) kg m^(2) s^(-1) , mass of the electron = 9.1 xx 10^(-31) kg )

Calculate the unceertainty in position of an electron if the uncertainty in its velocity is 5.7 xx 10^(5) m s^(-1), h = 6.6 xx 10^(-24) kg m^(2) s^(-1) mass of electron = 9.1 xx 10^(-13 kg)

Knowledge Check

  • In an atom an electrron is momving with a speed fo 600 m//s with an accuracy fo 0.005% . Cenrtatinty with which the position fo the elelcron can be locatied si : ( h = 6.6 xx 10^(-34) kg m^2 s^(-1) , mass of electron (e_m) = 9. 1 xx10^(-31) kg) .

    A
    ` 1. 52 xx 10^(-4) m`
    B
    ` 5. 10 xx 10^(-3) m`
    C
    ` 2.5 nm`
    D
    ` 14. 0 nm`

  • 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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    An electron has a speed of 500 ms^(-1) with an uncertainty of 0.02%. What is the uncertainty in locating its position ? [Give mass of electron = 9.1 xx 10^(-31) kg, h = 6.6 xx 10^(-34) J s)

    In an atom, an electron is moving with a speed of 600m/s with an accuracy of 0.005%. Certainly 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," e_(m)= 9.1 xx 10-31kg)

    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)

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