Rotational Motion and Molecular Shapes Quiz

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Questions and Answers

What is the moment of inertia for an asymmetric top molecule where I_A = I_B = I_C but I_A is not equal to I_C?

  • I_A (correct)
  • I_B
  • I_C
  • None of the above

Which type of molecule exhibits no dipole moment and therefore no rotational spectrum?

  • Rigid rotor
  • Linear molecule
  • Symmetric top
  • Asymmetric top (correct)

What is the expression for the kinetic energy of a rigid rotator in terms of its moment of inertia, I?

  • $L^2$
  • $\frac{1}{2}Iω^2$ (correct)
  • $\frac{I}{2}ω^2$
  • $\frac{L^2}{2I}$

In the context of a rigid rotator with a fixed separation of two masses, how can the moment of inertia be expressed?

<p>$l_1 + l_2$ (B)</p> Signup and view all the answers

What does the reduced mass, µ, represent in the context of a rigid rotator?

<p>The effective mass of the system under rotation (C)</p> Signup and view all the answers

In quantum mechanics, what is the significance of solving the Schrodinger equation for a rigid rotor to obtain the rotational energy and selection rule?

<p>Describing how molecules transition between different rotational states (C)</p> Signup and view all the answers

Why is the rigid rotator considered a special case in molecular motion?

<p>It has a fixed separation between masses (B)</p> Signup and view all the answers

In the absorption of electromagnetic radiation by a molecule, what happens to its quantum number J?

<p>Increases by 1 (B)</p> Signup and view all the answers

'Rigid Rotor' wave functions are customarily denoted by what symbol?

<p>$Ψ$ (A)</p> Signup and view all the answers

'Symmetric top' molecules can be identified by which characteristic property?

<p>$I_A \neq I_B \neq I_C$ (A)</p> Signup and view all the answers

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