JEE Main Physics: Electron Transitions and Bohr's Model
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Questions and Answers

What is the formula for the energy levels (En) in a hydrogen-like atom according to Bohr's model?

  • $E_n = -\frac{2n^2Z^2}{R_H}$
  • $E_n = -2n^2Z^2R_H$
  • $E_n = -\frac{n^2}{2Z^2R_H}$
  • $E_n = -\frac{n^2Z^2R_H}{2}$ (correct)

    • What can electrons do when transitioning between energy levels in Bohr's model?

  • Absorb or emit energy in calculated amounts
  • Absorb or emit energy in random amounts
  • Absorb or emit energy in continuous amounts
  • Absorb or emit energy in discrete packets (quanta) (correct)

    • In the Rydberg formula, what do n1 and n2 represent?

  • The position and momentum of the electron
  • The mass and velocity of the electron
  • The charge and spin of the electron
  • The initial and final energy levels (correct)

    • What does Z represent in the formula for energy levels (En) in a hydrogen-like atom?

    <p>Atomic number</p> Signup and view all the answers

    According to Bohr's model, where do electrons orbit the nucleus?

    <p>In quantized energy levels</p> Signup and view all the answers

    What is the Rydberg constant (RH) value that appears in the wavelength formula for electron transitions?

    <p>$2.18 × 10^{-18} J$</p> Signup and view all the answers

    What is the equation to determine the energy of a photon associated with a transition?

    <p>E = hf</p> Signup and view all the answers

    Which quantum number is crucial for understanding electron configurations?

    <p>Principal quantum number (n)</p> Signup and view all the answers

    What does the ionization energy represent?

    <p>Energy required to remove an electron completely from its orbit</p> Signup and view all the answers

    What does fine structure involve?

    <p>Splitting of spectral lines due to electron spin</p> Signup and view all the answers

    What selection rules must electron transitions satisfy?

    <p>Conservation of angular momentum and energy</p> Signup and view all the answers

    Which splitting involves electron spin?

    <p>Fine structure</p> Signup and view all the answers

    What is Planck's constant?

    <p>$6.63 × 10^{-34} J⋅s$</p> Signup and view all the answers

    What do absorption lines in a spectrum correspond to?

    <p>Electrons moving to higher energy levels</p> Signup and view all the answers

    Which equation relates ionization energy to the energy of the orbit?

    <p>$E_i = -E_n$</p> Signup and view all the answers

    What is the formula for the wavelength (λ) of the emitted or absorbed photon during a transition?

    <p>$1 = R_H \cdot (\frac{1}{n_1^2} - \frac{1}{n_2^2})$</p> Signup and view all the answers

    What is the energy levels formula (En) for a hydrogen-like atom according to Bohr's model?

    <p>$E_n = -\frac{n^2Z^2}{R_H}$</p> Signup and view all the answers

    Which quantum number is crucial for understanding electron configurations in an atom?

    <p>Principal quantum number (n)</p> Signup and view all the answers

    What does the Rydberg constant (RH) represent in the context of electron transitions?

    <p>The proportionality constant for wavelength calculation</p> Signup and view all the answers

    In Bohr's model, what can electrons absorb or emit when transitioning between energy levels?

    <p>Quantized energy packets (quanta)</p> Signup and view all the answers

    What is the equation for determining the energy of a photon associated with a transition?

    <p>$E_{photon} = \frac{hc}{\lambda}$</p> Signup and view all the answers

    What is the relationship between the ionization energy (Ei) and the energy of the orbit (En) for an electron in a hydrogen-like atom?

    <p>Ei = -En</p> Signup and view all the answers

    What principle states that no two electrons in an atom can have the same set of four quantum numbers?

    <p>Pauli Exclusion Principle</p> Signup and view all the answers

    Which quantum number is crucial for understanding electron configurations?

    <p>Principal quantum number (n)</p> Signup and view all the answers

    What does the fine structure involve in the context of atomic spectra?

    <p>Additional splitting of spectral lines due to electron spin</p> Signup and view all the answers

    In the context of electron transitions in atoms, what do absorption lines in a spectrum correspond to?

    <p>Electrons moving to higher energy levels</p> Signup and view all the answers

    What is the equation to determine the energy (E) of a photon associated with a transition?

    <p>E = hf</p> Signup and view all the answers

    What is the significance of spectral lines in identifying elements?

    <p>Spectral lines are unique to each element and provide a 'fingerprint' for identification</p> Signup and view all the answers

    What must electron transitions satisfy in terms of selection rules?

    <p>Conservation of momentum and energy</p> Signup and view all the answers

    What does the Rydberg constant (RH) value represent in the context of electron transitions?

    <p>The proportionality constant for calculating the wavelength of light emitted during electron transitions</p> Signup and view all the answers

    What is Planck's constant denoted as in mathematical terms?

    <p>h = 6.63 × 10^(-34) J·s</p> Signup and view all the answers

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