Home
Class 12
PHYSICS
The electron in hydrogen atom in a sampl...

The electron in hydrogen atom in a sample is in `n^(th)` excited state, then the number of differrent spectrum lines obtained in its emission spectrum will be

A

`1+2+3+"……….."+(n-1)`

B

`1+2+3+"…………."+(n)`

C

`1+2+3+"…………."+(n+1)`

D

`1xx2xx3xx"…………"xx(n-1)`

Text Solution

Verified by Experts

The correct Answer is:
B

`n^(th)` excited state `=.^(n+1)C_(2) =(n(n+1))/(2) =Sigma n`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Exercise - 51|1 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Exercise - 52|1 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Exercise - 49|1 Videos
  • RACE

    ALLEN|Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos
  • TEST PAPER

    ALLEN|Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

4g of hydrogen atom (H) are taken at very high temperature such that electron of each atom is excited to 4^( th ) excited state.The maximum number of line obtained in emission spectrum when all electron return to ground state is

In hydrogen atom are excited in the fifth level .The number of line that appear in the spectrum will be

Knowledge Check

  • When an electron is excited from ground level to 5th orbit,the number of spectral lines obtained in Bohr spectrum of H-atom is

    A
    5
    B
    8
    C
    10
    D
    15
  • If in a gaseous sample of one mole of hydorgen atoms, the electron in every H atom is present in the 5th orbit, then how many spectral lines would appear in its emission spectrum?

    A
    Ten
    B
    Five
    C
    Seven
    D
    Four
  • Balmer series of hydrogen line emission spectrum lies in

    A
    visible region
    B
    infrared region
    C
    ultraviolet region
    D
    X ray region
  • Similar Questions

    Explore conceptually related problems

    In a container a mixture is prepared by mixing of three samples of hydrogen helium ion (He^(+)) and lithium ion (Li^(2+)). In sample , all the hydrogen atoms are in 1st excited state and all the He^(+) ions are in third excited state and all the Li^(2+)) ions are in fifth excited state. Find the total number of spectral lines observed in the emission spectrum of such a sample when the electrons return back to the ground state.

    In a sample of H like atoms highest quantum state is n = 6. Find total number of spectral lines in emission spectrum

    A tube contains a sample of hydrogen atoms which are all in their third excited state. The atoms de-excite and a spectrum of the radiation emitted is obtained. The spectrum is shown in the given figure. (a) Which of the lines ( 1, 2, 3, 4, 5 or 6 ) represent a transition from quantum state n = 3 to n = 2 . (b) Which of the lines represent the one with second smallest wavelength?

    In the hydrogen atoms, the electrons are excited to the 5th energy level. The number o f the limes that may appear in the spectrum will be

    When an electron is excited to n^(th) energy state in hydrogen, the possible number of spectral lines emitted are