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

The electron in a hydrogen atom makes a transition from `n=n_(1)` to `n=n_(2)` state. The time period of the electron in the initial state is eight times that times that in the final state. The possible values of

A

`n _(1) = 4 , n _(2) = 2`

B

`n _(1) = 8, n _(2) =2 `

C

`n _(1) = 8 , n _(1) = 2 `

D

`n _(1) = 6, n _(2) =2 `

Text Solution

Verified by Experts

`T ^(2) = alpha r^(2) or alpha n ^(2)`
`therefore T ^(2) alpha n ^(6) or T alpha n ^(3)`
`(T _(1))/( T _(2)) = ((n _(1))/( n _(2))) ^(3)`
`8 = (( n _(1))/( n _(2))) ^(3) or (n _(1))/( n _(2)) =2 `
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

The electron in a hydrogen atom makes a transition n _(1) to n _(2) where n_(1) and n_(2) are the principal quantum numbers of the two states. Assume the Bohr model to be valid. The time period of the electron in the initial state is eight times that in the final state. What are the possible values of n _(1) and n _(2) ?

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

Knowledge Check

  • The electron in a hydrogen atom makes a transition from an excited state the to ground state. Which of the following statements is true?

    A
    Its kinetic energy increases and its potential and total energies decrease.
    B
    Its kinetic energy decreases, potential energy increases, and its total energy remains the same.
    C
    Its kinetic and total energies decrease and its potential energy increases
    D
    Its kinetic, potential, and total energy decreases.

  • The electron in a hydrogen atom makes a transition n_1rarr n_2 where n_1 and n_2 are the principal quantum 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

    A
    `n_1 = 4, n_2 = 2`
    B
    `n_1 = 3,n_2 =1`
    C
    `n_1 = 8, n_2 =1`
    D
    `n_1 = 6, n_2 = 3`

  • The recoil speed of a hydrogen atom after it emits a photon in going from n=5 state to n=1 state is

    A
    2.18 m/s
    B
    3.36 m/s
    C
    4.17 m/s
    D
    5.26 m/s

    • Similar Questions

    Explore conceptually related problems

    The electron in a hydrogen atom makes a transition from an excited state the to ground state. Which of the following statements is true?

    The electron in a hydrogen atom makes a transition n _(1) to n _(2) where n_(1) and n_(2) are the principal quantum 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

    The time period of revolution of electron in the first excited and second excited states of a H-atom is in the ratio

    The recoil speed of a hydrogen atom after it emits a photon in going from n=5 " state to " n=1 state is

    An electron makes a transition from orbit n=4 to an orbit n=2 of a hydrogen atom.What is the wavelength of the emitted radiation?

    Home
    Profile