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The enregy, radius and velocity of the e...

The enregy, radius and velocity of the electron in the hydrogen atom in the ground state are `-13.6 eV, 0.53 Å` and `2.188 xx 10^(8) m s^(-1)` respectively.
The energy of the electron in the third orbit will be

A

`-4.4 eV`

B

`-1.5eV`

C

`-40.8 eV`

D

`-22.4eV`

Text Solution

Verified by Experts

The correct Answer is:
B
For hydrogen `E_(n) = - (13.6)/(n^(2)) eV`
`:. E_(3) = (13.6)/(3^(2)) eV = -1.5 eV`
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Knowledge Check

  • The enregy, radius and velocity of the electron in the hydrogen atom in the ground state are -13.6 eV, 0.53 Å and 2.188 xx 10^(8) m s^(-1) respectively. The velocity of the electron in the third orbit of hydrogen atom will be

    A
    `0.729 xx 10^(8) cm s^(-1)`
    B
    `6.564 xx 10^(8) cm s^(-1)`
    C
    `19.692 xx 10^(8) cms^(-1)`
    D
    `0.243 xx 10^(8) cm s^(-1)`

  • The energy, radius and velocity of the electron in the hydrogen atom in the ground state are -13.6 eV, 0.53 Å and 2.188 xx 10^(8) ms^(-1) respectively. The velocity of the electron in the third orbit of hydrogen atom will be

    A
    `0.729 xx 10^(8) cm s^(-1)`
    B
    `6.564 xx 10^(8) cm s^(-1)`
    C
    `19.692 xx 10^(8) cm s^(-1)`
    D
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  • The enregy, radius and velocity of the electron in the hydrogen atom in the ground state are -13.6 eV, 0.53 Å and 2.188 xx 10^(8) m s^(-1) respectively. The radius of the third orbit of hydrogen atom will be

    A
    `1.59 Å`
    B
    `4.77 Å`
    C
    `3.0 Å`
    D
    `6.0 Å`

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