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

When a hydrogen atom is excited from ground state to first excited state then

When a hydrogen atom is excited from ground state to first excited state then

Knowledge Check

  • Hydrogen atom is excited from ground state to another state with principle quantum number equal to 4. Then the number of spectral lines in the emission spectra will be ......

    A
    2
    B
    3
    C
    5
    D
    6
  • When electron in hydrogen is in minimum excited state then its radius will become ...... radius of first orbit.

    A
    double
    B
    half
    C
    equal
    D
    four times
  • To excite the hydrogen atom from its ground state to second excited state…. eV energy is required.

    A
    3.4
    B
    12.09
    C
    10.2
    D
    13.6
  • Similar Questions

    Explore conceptually related problems

    State the uses of line spectrum or atomic spectra.

    Consider two different hydrogen atoms. The electron in each atom is in an excited state. Is it possible for the electrons to have different energies but the same orbital angular momentum according to the Bohr model ?s

    An electron, in a hydrogen like atom , is in excited state. It has a total energy of -3.4 eV , find the de-Broglie wavelength of the electron.

    Electromagnetic waves of wavelenglth 1242 Å are indicdent on a metal of work funcation 2eV . The target metal is connected to a 5 volt cell, as shown. The electrons pass through hole A into a gas of hydrogen atoms in their groynd stte. Find the number of spectral lines emitted when hydrogen atoms come back to their froynd states after gaving veen excited by the electrons, Assume all excitations in H-atoms from ground state only ( hc = 12420 eVÅ )

    Hydrogen atom excites energy level from n = 3 to ground state. Number of spectrum lines according to Bohr, is ......