Home
Class 12
PHYSICS
An electron ina hydrogen atom undergoes ...

An electron ina hydrogen atom undergoes a transition from an orbit with quantum number `n_(i) ` to another with quantum number `n_(f)` . `V_(i)` and `V_(f)` are respectively the initial and final potential energies of the electron. If `( V_(i))/( V_(f)) = 6.25`, then the smallest possible `n_(f ) ` is

Text Solution

Verified by Experts

The correct Answer is:
5
PE =`-27.2/n^2`
`V_f/V_i=(-27.2/n_f^2)/(-27.2/n_i^2)=1/6.25`
`6.25=n_f^2/n_i^2`
`n_f/n_i=2.5=5/2`
Hence smallest value of `n_f`=5.
Promotional Banner

Topper's Solved these Questions

  • ATOMS

    MODERN PUBLICATION|Exercise COMPETITION FILE (Ncert Exemplar Problems )|13 Videos

  • ATOMS

    MODERN PUBLICATION|Exercise Chapter Practice Test|16 Videos

  • ATOMS

    MODERN PUBLICATION|Exercise COMPETITION FILE (Matrix match )|2 Videos

  • ALTERNATING CURRENT

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|16 Videos

  • CURRENT ELECTRICITY

    MODERN PUBLICATION|Exercise Chapter Practice Test|15 Videos

Similar Questions

Explore conceptually related problems

In a hydrogen like atom electron make transition from an energy level with quantum number n to another with quantum number (n - 1) if n gtgt1 , the frequency of radiation emitted is proportional to :

When an electron in hydrogen atom jumps from orbit of quantum number n_(2) to orbit of quantum number n_(1) , the shortest wavelength is obtained for following condition.

When an electron in hydrogen atom jumps from orbit of quantum number n_(2) to orbit of quantum number n_(1) , the shortest wavelength is obtained for following condition.

According to Bohr's theory of the hydrogen atom, the radii of stationary electron orbits are related to the principal quantum number n as :

An electron in hydrogen atom makes a transition from n=n1 to n=n2 .The time period of the electron in the initial state is eight times that in the final state.The possible values of n1 and n2 are:

An electron in hydrogen atom makes a transition n_i to n_2 where n_1 and n_2 are principal quantum numbers of the two states. Assuming Bohr's model to be valid the time period of the electron in the initial state is eight times that in the final state. The possible values of n_1 and n_2 are

The principal and azimuthal quantum number of electrons in 4f orbitals are

The electron in a hydrogen atom makes a transition n_(1) rarr n_(2) where n_(1) and n_(2) are the principal qunatum numbers of the two states. Assume the Bohr model to be valid. The frequency of orbital motion of the electron in the initial state is 1//27 of that in the final state. The possible values of n_(1) and n_(2) are