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

In an atom, an electron is moving with a speed of 6200 m/s which the position of an electron can be locates is `(h=6.6xx10^(-34)kgm^(2)s^(-1)`, mass of electron `e_(m)=9.1xx10^(-31)kg)`

A

`1.52xx10^(-4)m`

B

`5.10xx10^(-3)m`

C

`1.92xx10^(-3)m`

D

`3.84xx10^(-3)m`

Text Solution

Verified by Experts

The correct Answer is:
C
`Deltav=0005/100xx600=0.03`
`Delta x xx mDeltav=h/(4pi)`
`Deltax=h/(4pi mDeltav)=(6.6xx10^(-34))/(4xx3.14xx9.1xx10^(-31)xx6.03)`
`=1.92xx10^(-3)m`
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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 = 6.626 xx 10^(-34) kg m^2 s^(-1) , mass of the electron = 9.1 xx 10^(−31) kg ).

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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% . Uncertainty with which the position of the electron can be located is (h = 6.6 xx 10^(-34) kg m^2s^(-1) , mass of electron, m_e = 9.1 xx 10^(-31) kg):

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

  • The de Broglie wavelength of an electron is 66 nm. The velocity of the electron is (h=6.6xx10^(-34)kgm^(2)s^(-1)m=9.0xx10^(-31)kg)

    A
    `1.84xx10^(-14)ms^(-1)`
    B
    `1.1xx10^(-4)ms^(-1)`
    C
    `5.4 xx 10^(3)ms^(-1)`
    D
    `1.1xx10^(4)ms^(-1)`

  • The deBroglie wavelength of an electron travelling at 1% of the speed of light is( h=6.6xx10^(-4) Js, mass of electron =9.0xx10^(-31) kg

    A
    `24.4xx10^(-10)m`
    B
    `244nm`
    C
    `24.4"pm"`
    D
    `244 "pm"`

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