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The correct expression derived for the e...

The correct expression derived for the energy of an electron in the `n^(th)` energy level is for H-atom :

A

`E_(n)=(2pi^(2)me^(4)K^(2))/(n^(2)h^(2))`

B

`E_(n)=(pi^(2)me^(4)K^(2))/(2n^(2)h^(2))`

C

`E_(n)=(2pi^(2)me^(2)K^(2))/(n^(2)h^(2))`

D

`E_(n)= -(2pi^(2)me^(4)K^(2))/(n^(2)h^(2))`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • An electron is excited to fourth energy level in an atom. It will

    A
    remain there permanently
    B
    come back to original state either in one or more jumps
    C
    come back to ground state in one jump
    D
    rise to higher energy levels.

  • The energy of an electron in n^"th" orbit of hydrogen atom is

    A
    `13.6/n^4 eV`
    B
    `13.6/n^3 eV`
    C
    `13.6/n^2 eV`
    D
    `13.6/n` eV

  • The total energy of an electron in 4th orbit of hydrogen atom is

    A
    `-13.6eV`
    B
    `-3.4eV`
    C
    `-1.51eV`
    D
    `-0.85eV`

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