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Important Questions for "Quantum Mechanics":

[1]

  1. The electromagnetic radiation of higher wavelength has energy?
  2. For a IR transition to take place, following conditions should be met?
  3. The separation between any two adjacent Stokes or anti-Stokes lines is?

[2]

  1. Discuss the vibrational modes of HO and similar molecules.
  2. What determines the strength of covalent bonds?
  3. Write the Schrodinger equation for electrons with given energy values.

[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. Prove that product of two commuting projection operators p and pz is also a projection operator.
  3. 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).

[4]

  1. What are the postulates of quantum mechanics?
  2. How can we determine the intensity of spectral lines?
  3. Derive an expression for vibrational energy of a diatomic molecule assuming it to be a simple harmonic oscillator. What is 'Zero point Energy'?

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