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Q. No.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):\(\dfrac{AP}{PB}=\dfrac12.\) The lowest frequency for which this happens is:
1. \(120~\text{Hz}\)
2. \(240~\text{Hz}\)
3. \(360~\text{Hz}\)
4. \(180~\text{Hz}\)
1. \(120~\text{Hz}\)
2. \(240~\text{Hz}\)
3. \(360~\text{Hz}\)
4. \(180~\text{Hz}\)
Subtopic: Â Travelling Wave on String |
Level 3: 35%-60%
Hints
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: Â Travelling Wave on String |
 59%
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.
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: Â Travelling Wave on String |
 58%
Level 3: 35%-60%
Hints
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: Â Travelling Wave on String |
 58%
Level 3: 35%-60%
Hints
- 1(current)
Q. No.
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