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Class 12 Atoms worksheet

CBSE Physics. Rutherford scattering, Bohr orbits and energies, hydrogen spectrum series. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.

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Sample questions

Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.

Section A · multiple choice

  1. 1.

    The radius of the 3rd Bohr orbit in a hydrogen atom is: (r₁ = 0.53 Å for hydrogen)

    1. 14.31 Å
    2. 1.59 Å
    3. 9.54 Å
    4. 4.77 Å
    Answer

    (d) 4.77 Å

    rₙ = n²r₁/Z = 3² × 0.53/1

  2. 2.

    The energy of an Li²⁺ ion with its electron in the n = 5 level is:

    1. −4.896 eV
    2. −8.16 eV
    3. 4.896 eV
    4. −0.544 eV
    Answer

    (a) −4.896 eV

    Eₙ = −13.6Z²/n² eV with Z = 3

  3. 3.

    The energy of the photon emitted when a hydrogen electron falls from n = 3 to n = 2 is:

    1. 1.51 eV
    2. 2.27 eV
    3. 3.4 eV
    4. 1.89 eV
    Answer

    (d) 1.89 eV

    13.6(1/2² − 1/3²)

Section B · short answer

  1. 4.

    For the electron in the n = 3 orbit of a hydrogen atom, find its kinetic energy, potential energy and total energy.

    Answer

    KE = 1.51 eV; PE = −3.02 eV; total = −1.51 eV

    KE = −E, PE = 2E, E = −13.6Z²/n²

  2. 5.

    Find the energy and wavelength of the photon emitted when a hydrogen electron falls from n = 7 to n = 3. (hc = 1240 eV nm)

    Answer

    1.23 eV; 1,005.22 nm

    ΔE = 13.6(1/3² − 1/7²); λ = 1240/ΔE

Section C · long answer

  1. 6.

    A hydrogen atom with its electron in the n = 2 level absorbs a photon of 3.02 eV. To which level does the electron rise? List the photon energies it can emit as it falls back to n = 2.

    Answer

    n = 6; 3→2: 1.89 eV, 4→2: 2.55 eV, 5→2: 2.856 eV, 6→2: 3.02 eV, 4→3: 0.66 eV, 5→3: 0.97 eV, 6→3: 1.13 eV, 5→4: 0.306 eV, 6→4: 0.47 eV, 6→5: 0.17 eV

    −13.6/2² + 3.02 = −13.6/n²

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