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In a hydrogen atom, the electron is in n...

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`

Text Solution

Verified by Experts

The correct Answer is:
A

`10= .^(n)C_(2) implies n=5`, then 5 orbits are involved upon coming to second excited state
so `n^(th)` excited state is `6^(th) [2^(nd), 3^(rd), 4^(th), 5^(th), 6^(th)]`
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Knowledge Check

  • The ratio of energies of electron in the first excited state to its second excited state in H-atom is ......

    A
    `1:4`
    B
    `4:9`
    C
    `9:4`
    D
    `4:1`
  • Hydrogen atom from excited state comes to the ground state by emitting a photon of wavelength lamda , then what is the quantum number of excited states ?

    A
    `sqrt((lamdaR-1)/(lamdaR))`
    B
    `sqrt((lamdaR)/(lamdaR-1))`
    C
    `sqrt(lamdaR(R-1))`
    D
    `lamdaR(R-1)`
  • In an atom when electrons transition from excited state to ground state, which of the statement is true ?

    A
    K increase and U and E decreases.
    B
    K decrease and U and E remains constant.
    C
    K and E decreases and U increases.
    D
    K, U and E decreases.
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