Home
Class 12
PHYSICS
A doubly ionized lithium atom is hydroge...

A doubly ionized lithium atom is hydrogen like with atomic number 3. Find the wavelength of the radiation required to excite the electron in `Li^(++)` from to the third Bohr orbit (ionization energy of the hydrogen atom equals 13.6 eV).

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
In hydrogen atom,
`Delta E_1 = E_3 - E_1 = 12.1 eV`
`E prop Z^2`
`:. For Z = 3,`
`DeltaE_2 = ((3))^2 DeltaE_1 = ((3))^2 ((12.1))`
=108.9 Å
`:. Lambda = (12375)/(108.9) ~~ 113 Å.`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MODERN PHYSICS - 1

    DC PANDEY|Exercise Level 2 Single Correct|22 Videos

  • MODERN PHYSICS - 1

    DC PANDEY|Exercise Level 2 More Than One Correct|6 Videos

  • MODERN PHYSICS - 1

    DC PANDEY|Exercise Level 1 Objective|37 Videos

  • MODERN PHYSICS

    DC PANDEY|Exercise Integer Type Questions|17 Videos

  • MODERN PHYSICS - 2

    DC PANDEY|Exercise Level 2 Subjective|10 Videos

Similar Questions

Explore conceptually related problems

A doubly ionized lithium atom is hydrogen like with atomic . number 3. Find the wavelength of the radiation to excite the electron in . Li++ form the first to the third Bohr orbit. The ionization energy of the hydrogen . Atom is 13.6V.

A double ionised lithium atom is hydrogen like with atomic number 3 (i)Find the wavelength of the radiation to excite the electron in Li^(++) from the first to the third bohr orbit (lonisection energy of the hydrogen atom equals 13. 6) (ii) How many spectral lines are observed in the emission spetrum of the above excled system ?

Knowledge Check

  • A doubly ionized lithim atom is hydrogen like with atomic number 3. Find the wavelength of the radiation required to excite the electron in Li^(2+) from the first to the third Bohr orbit. The ionization energy of the hydrogen atom is 13.6 eV. (Take hc=1240 eV nm)

    A
    11.4 nm
    B
    10.7 nm
    C
    12.7 nm
    D
    13.4 nm

  • A double charged lithium atom is equivalent to hydrogen whose atomic numer is 3 . The wavelength of required radiation for emitted electron from first to third Bohr orbit in Li^(++ will be (lonisation energy of hydrogen atom is 13.6 eV )

    A
    `18.51 Å`
    B
    `177.17 Å`
    C
    `142.25 Å`
    D
    `113.74 Å`

  • Calculate the energy required to excite an electron in hydrogen atom from the ground state to the next higher state, if the ionsation energy for the hydrogen atom is 13.6 eV .

    A
    `3.4 eV`
    B
    `10.2 eV`
    C
    `12.1 eV`
    D
    `1.3 eV`

    • Similar Questions

    Explore conceptually related problems

    Consider a gas consisting Li^(+2) (which is hydrogen like ion). (a) Find the wavelength of radiation required to excite the electron in Li^(++) from n=1 and n=3 . (Ionisation energy of the hydrogen atom equals 13.6 eV ). (b) How many spectral lines are observed in the emission spectrum of the above excited system?

    A doubly ionized lithium atom is hydrogen like with atomic number 3 . Find the electron in (Li^(+ +)) from the first to thired Bohr orbit . The ionization energy of the hydrogen atom is 13.6 eV .

    Calculate (i) First excitation energy of the electron in the hydrogen atom. (ii) Ionization energy of the hydrogen atom

    Find the energy of the electrons in eV in the third Bohr orbit of the hydrogen atom.

    The ionization potential of hydrogen atom is 13.6 eV. The wavelength of the energy radiation required for the ionization of H-atom

    Home
    Profile