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Given: The mass of electron is 9.11 × 10...

Given: The mass of electron is `9.11 × 10^(–31)`Kg Planck constant is `6.626 ×10^(–34)`Js, the uncertainty involved in the measurement of velocity within a distance of 0.1Å is:-

A

`5.79xx10^(8)ms^(-1)`

B

`5.79xx10^(5)ms^(-1)`

C

`5.79xx10^(6)ms^(-1)`

D

`5.79xx10^(7)ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`Deltachi.mDeltav=h/(4pi)`
`0.1xx10^(-10)xx9.11xx10^(-31)xxDeltav=(6.626xx10^(-34))/(4xx3.14)`
`Deltav=(6.626xx10^(-34))/(0.1xx10^(-10)xx9.11xx10^(-31)xx4xx3.14)`
= `5.79xx10^(6)m`.
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Knowledge Check

  • Given : The mass of electron is 9.11 xx 10^(-31) kg , Planck constant is 6.626 xx 10^(-34) J , the uncertainty involved in the measurement of velocity within a distance of 0.1 Å is

    A
    `5.79 xx 10^(8) ms^(-1)`
    B
    `5.79 xx 10^5) ms^(-1)`
    C
    `5.79 xx 10^(6) ms^(-1)`
    D
    `5.79 xx 10^(7) ms^(-1)`

  • The uncertainty involved in the measurement of velocity of electron with a distance of 0.1Å is

    A
    `5.79xx10^(8)" m/s"`
    B
    `5.79xx10^(5)" m/s"`
    C
    `5.79xx10^(6)" m/s"`
    D
    `5.79xx10^(7)" m/s"`

  • The uncertainty involved in the measurement of velocity of an electron within a distance of .01A^@ is

    A
    `5.79xx10^8 ms^(-1)`
    B
    `5.79xx10^5 ms^(-1)`
    C
    `5.79xx10^6 ms^(-1)`
    D
    `5.79xx10^7 ms^(-1)`