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An electron in nth excited state in a hy...

An electron in nth excited state in a hydrogen atom comes down to first excited state by emitting ten different wavelength. Find value of `n` (an integer).

Text Solution

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The correct Answer is:
6

When electron jumps from `n^(th)` state to ground state, number of possible emission lines `= n (n - 1)//2`, But here transition takes place from `n^(th)` state to state `n_(1) =2`
Here, number of possible emission lines `= n (n - 1) (n - 2)//2 = 10` (gives).
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Knowledge Check

  • In a hydrogen atom, the electron is in n^(th) excited state. It may come down to second excited state by emitting ten different wavelengths. What is the value of n ?

    A
    `6`
    B
    `7`
    C
    `8`
    D
    `5`
  • In a hydrogen atom, the electron is in nth excited state. It comes down to the first excited state by emitting 10 different wavelength. The value of n is

    A
    6
    B
    7
    C
    8
    D
    9
  • the energy required to excite an electron in hydrogen atom to its first excited state is

    A
    `8.5eV`
    B
    `10.2eV`
    C
    `12.7eV`
    D
    `13.6eV`
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