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Rotational Motion and Molecular Shapes Quiz

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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?

$l_1 + l_2$ (B) Signup and view all the answers

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

The effective mass of the system under rotation (C) 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?

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

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

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

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

Increases by 1 (B) Signup and view all the answers

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

$Ψ$ (A) Signup and view all the answers

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

$I_A \neq I_B \neq I_C$ (A) Signup and view all the answers