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The mass of an electron is 9.11 x 10^-31...

The mass of an electron is `9.11 x 10^-31` kg, that of a proton is `1.67 x 10^-27` kg. Find the ratio `F_e// F_g` of the electric force and the gravitational force exerted by the proton on the electron.-

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The correct Answer is:
A, B, C

`F_e=1/(4piepsilon_0)(q_1q_2)/r^2`
`and F_g=G(m_1m_2)/r^2`
`:. F_e/F_g=((1//4piepsilon_0)q_1q_2)/(Gm_1m_2)`
`=((9xx10^+9)(1.6xx0^-19)^2)/((6.67xx10^-11)(9.11xx10^-31)(1.67xx10^-27))`
`=2.27xx10^39`
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Knowledge Check

  • If mass of an electron is 9.1xx10^(-31) kg, the number of electrons in 1 mg is

    A
    `1.09xx10^(27)`
    B
    `1.09xx10^(24)`
    C
    `9.1xx10^(28)`
    D
    `9.1xx10^(31)`
  • The rest mass of an electron is 9.11xx10^(-31) kg. Molar mass of the electron is

    A
    `1.5xx10^(-31) kg mol^(-1)`
    B
    `9.11xx10^(-31) kg mol^(-1)`
    C
    `5.5xx10^(-7) kg mol^(-1)`
    D
    `6.02xx10^(23) kg mol^(-1)`
  • The ratio of magnitude of electrostatic force and gravitational force for an electron and a proton is

    A
    `6.6xx10^(39)`
    B
    `2.4xx10^(39)`
    C
    `6.6xx10^(29)`
    D
    `2.4xx10^(29)`
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