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In a sample of hydrogen atoms, all the a...

In a sample of hydrogen atoms, all the atoms exist in two energy levels A and B. A is the ground level and B is some higher energy level. These atoms absorb photons of energy 2.7 eV and attain a higher energy level C.After this, these atoms emit photons of six different energies. Some of these photon energies are higher than 2.7 eV, some equal to 2.7 eV and some are loss than 2.7 eV.
The principal quantum number corresponding to energy level C is

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
D
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A gas of identical hydrogen-like atoms has some atoms in the lowest in lower (ground) energy level A and some atoms in a partical upper (excited) energy level B and there are no atoms in any other energy level.The atoms of the gas make transition to higher energy level by absorbing monochromatic light of photon energy 2.7 e V . Subsequenty , the atom emit radiation of only six different photon energies. Some of the emitted photons have energy 2.7 e V some have energy more , and some have less than 2.7 e V . a Find the principal quantum number of the intially excited level B b Find the ionization energy for the gas atoms. c Find the maximum and the minimum energies of the emitted photons.

A gas of identical H-like atom has some atoms in the lowest (ground) energy level A and some atoms in a particular upper (excited) energy level B and there are no atoms in any other energy level. The atoms of the gas make transition to a higher energy level by aborbing monochromatic light of photon energy 2.7eV . Subsequently, the atoms emit radiation of only six different photons energies. Some of the emitted photons have energy 2.7eV . Some have more and some have less than 2.7eV . (a) Find the principal quantum number of initially excitied level B. (b) Find the ionisation energy for the gas atoms. (c ) Find the maximum and the minimum energies of the emitted photons.

Knowledge Check

  • In a sample of hydrogen atoms, all the atoms exist in two energy levels A and B. A is the ground level and B is some higher energy level. These atoms absorb photons of energy 2.7 eV and attain a higher energy level C.After this, these atoms emit photons of six different energies. Some of these photon energies are higher than 2.7 eV, some equal to 2.7 eV and some are loss than 2.7 eV. The atomic number of these atoms is

    A
    1
    B
    2
    C
    3
    D
    4

  • In a sample of hydrogen atoms, all the atoms exist in two energy levels A and B. A is the ground level and B is some higher energy level. These atoms absorb photons of energy 2.7 eV and attain a higher energy level C.After this, these atoms emit photons of six different energies. Some of these photon energies are higher than 2.7 eV, some equal to 2.7 eV and some are loss than 2.7 eV. The longest wavelength emitted in the radiation spectrum observed is

    A
    18761 Å
    B
    1216 Å
    C
    6500 Å
    D
    5752 Å

  • An isolated hydrogen atom emits a photon of energy 9 eV. Find momentum of the photons

    A
    `4.8xx 10^(-23)kg-m//s`
    B
    `4.8xx 10^(-27)kg-m//s`
    C
    `4.8xx 10^(-30)kg-m//s`
    D
    `7.8xx 10^(-27)kg-m//s`

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