A string \((AB)\) under tension has a fundamental frequency of \(120~\text{Hz}.\) The string is set into vibration and a point \(P\) is held down by a finger so that it becomes a node (i.e., \(P\) does not vibrate):\(\Large\frac{AP}{PB}=\frac12.\) The lowest frequency for which this happens is:

           
1. \(120~\text{Hz}\)
2. \(240~\text{Hz}\)
3. \(360~\text{Hz}\)
4. \(180~\text{Hz}\)
Subtopic:  Travelling Wave on String |
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When a string vibrates in its second harmonic mode, at which point on the string is the motion maximal?
1. One-quarter of the length away from an end.
2. In the middle, between the two ends.
3. One-third of the length away from an end.
4. The amplitude is the same at any point on the string.
Subtopic:  Travelling Wave on String |
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From NCERT
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A heavy uniform rope \(PQ\) is suspended from the ceiling. The lowest end of the rope is given a sharp transverse "shake" (or vibration) so as to cause a pulse. This pulse travels upward. As it travels upward, its speed:
1. increases 2. decreases
3. first increases and then decreases 4. remains constant
Subtopic:  Travelling Wave on String |
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A string fixed at both ends is under tension \(T.\) It has a length \(L,\) and mass \(m.\) The fundamental frequency of the vibration is: 
1. \(\dfrac{ 1}{2L} \sqrt {\dfrac{T}{m}}\)
2. \(\dfrac{1}{4 L} \sqrt{\dfrac{T}{m}}\)
3. \(\dfrac{1}{2} \sqrt{\dfrac{TL}{2m}}\)
4. \(\dfrac{1}{2} \sqrt{\dfrac{T}{m L}}\)
Subtopic:  Travelling Wave on String |
 57%
From NCERT
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