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Important Questions for "Quantum Mechanics":

[1]

  1. The orbital angular momentum of electron belonging to 2s orbital is?
  2. Corresponding values for P, Q, R branches in vibrational rotational spectra will be?
  3. For a IR transition to take place, following conditions should be met?

[2]

  1. Calculate the energy associated with radiation of 7600 wavelength.
  2. Define reduced mass and its significance in spectroscopy.
  3. Explain molecular orbital energy levels.

[3]

  1. Give the theory of first order Stark effect on the basis of quantum mechanics and discuss the splitting of the energy levels.
  2. If sigma_x, sigma_y, and sigma_z are Pauli spin matrices and A and B are constant vectors, show that (sigma.A)(sigma.B) = A.B + i sigma.(A x B).
  3. Solve the radial part of Schrodinger equation for Hydrogen atom and obtain energy eigenvalues.

[4]

  1. What are the postulates of quantum mechanics?
  2. Derive an expression for vibrational energy of a diatomic molecule assuming it to be a simple harmonic oscillator. What is 'Zero point Energy'?
  3. Apply Schrodinger's wave equation to a particle in one-dimensional box. What happens to the energy of a particle in a one-dimensional box if the length of the box is made larger?

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