Question:
In a stationary wave, all the particles
In a stationary wave, all the particles
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In a stationary wave all particles oscillate with the same period but with amplitude depending on position, and nodes do not move.
Updated On: Oct 1, 2026
- except at node vibrate in S.H.M. of same period but of different amplitudes
- vibrate in S.H.M. of same period and amplitude
- except at nodes vibrate in S.H.M. of same period and same amplitude
- vibrate in S.H.M. of different periods and different amplitudes
Show Solution
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept:
A stationary wave is formed by the superposition of two identical waves travelling in opposite directions.
Step 2: Detailed Explanation:
Every particle between nodes executes SHM with the same period (the period of the original wave). The amplitude changes from point to point: it is zero at the nodes and largest at the antinodes. So all particles except those at nodes vibrate in SHM with the same period but different amplitudes.
Step 3: Check the options.
(B) and (C) say the amplitude is the same, which is wrong. (D) says the periods are different, which is wrong. Only (A) is correct.
Final Answer:
Option (A) is correct. \[ \boxed{\text{(A)}} \]
A stationary wave is formed by the superposition of two identical waves travelling in opposite directions.
Step 2: Detailed Explanation:
Every particle between nodes executes SHM with the same period (the period of the original wave). The amplitude changes from point to point: it is zero at the nodes and largest at the antinodes. So all particles except those at nodes vibrate in SHM with the same period but different amplitudes.
Step 3: Check the options.
(B) and (C) say the amplitude is the same, which is wrong. (D) says the periods are different, which is wrong. Only (A) is correct.
Final Answer:
Option (A) is correct. \[ \boxed{\text{(A)}} \]
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