NEET
- Exam
- NEET
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- Physics
- Chapter
- Oscillations
NEET · Physics · Oscillations
Given below are two statements: One is labelled as Assertion (A)...
Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : General vibration 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 appropritate amplitude.
In the light of the above statements, choose the most appropriate answer from the options given below:
Options
- ABoth (A) and (R) are true and (R) is the correct explanation of (A).
- BBoth (A) and (R) are true and (R) is NOT the correct explanation of (A).
- C(A) is true but (R) is false.
- D(A) is false but (R) is true.
Correct answer
B. Both (A) and (R) are true and (R) is NOT the correct explanation of (A).
Step-by-step solution
- Assertion (A): General vibration of a polyatomic molecule is periodic but not simple harmonic motion (SHM). This is true because the motion of atoms in a polyatomic molecule involves complex vibrations that are periodic but may not follow the characteristics of SHM (i.e., not necessarily sinusoidal).
- Reason (R): A periodic motion can be expressed as a sum of an infinite number of harmonic motions with appropriate amplitudes (Fourier series). This is also true, as any periodic motion can be decomposed into harmonic components. However, this does not explain why the general vibration of a polyatomic molecule is not SHM.