Polyatomic Molecule Vibrations and Fourier Series – Rankers Physics
Topic: Oscillation
Subtopic: Equation of SHM

Polyatomic Molecule Vibrations and Fourier Series

Assertion (A): General vibrations of a polyatomic molecule about its equilibrium position is periodic but not SHM.
Reason (R): A periodic motion can always be expressed as a sum of infinite number of harmonic motion with appropriated amplitude.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Assertion (A) is true. Complex vibrations of polyatomic molecules are periodic but generally not simple harmonic motion (SHM). Reason (R) is true. This is the principle of Fourier analysis, stating that any periodic motion can be decomposed into a sum of simple harmonic components. Reason (R) correctly explains why complex periodic motions (like polyatomic vibrations) are not SHM but can still be described as periodic.

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