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Q. No.The maximum possible wavelength in an open organ pipe of length \(l\) is:
1.
\(l\)
2.
\(2l\)
3.
\(3l\)
4.
\(4l\)
Subtopic: Standing Waves |
71%
Level 2: 60%+
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The equation of a stationary wave is given as \(y =A\sin(0.5\pi t)\cos(0.2\pi x)\) where \(t\) is in seconds and \(x\) in centimetres. Which of the following is correct?
| 1. | Wavelength of the component waves is \(10~\text{cm}.\) |
| 2. | The separation between a node and the nearest antinode is \(2.5~\text{cm}.\) |
| 3. | Frequency of the component wave is \(0.25~\text{Hz}\). |
| 4. | All of these |
Subtopic: Standing Waves |
90%
Level 1: 80%+
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The equation of a travelling wave is given as \(y = A\sin(40\pi t-0.2\pi x),\) where \(t\) is in seconds and \(x\) in metres. The minimum distance between two particles oscillating in the same phase is:
1. \(10~\text{m}\)
2. \(5~\text{m}\)
3. \(2~\text{m}\)
4. \(1.5~\text{m}\)
1. \(10~\text{m}\)
2. \(5~\text{m}\)
3. \(2~\text{m}\)
4. \(1.5~\text{m}\)
Subtopic: Wave Motion |
69%
Level 2: 60%+
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Two sound waves given by the equations \(y=A\sin 122 \pi t\) and \(y=A\sin 128 \pi t\) pass through a point simultaneously. The number of beats per second is:
| 1. | \(6\) | 2. | \(5\) |
| 3. | \(4\) | 4. | \(3\) |
Subtopic: Beats |
84%
Level 1: 80%+
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The graph between fundamental frequency \((f)\) and corresponding tension \((T)\) in a sonometer wire is best represented by:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Travelling Wave on String |
61%
Level 2: 60%+
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Stationary waves are formed on a stretched string. If the wavelength is \(\lambda,\) then the distance between two points having the maximum displacement can be:
1. \(\frac{3\lambda}{2}\)
2. \(4\lambda\)
3. \(\frac{5\lambda}{2}\)
4. All of these
1. \(\frac{3\lambda}{2}\)
2. \(4\lambda\)
3. \(\frac{5\lambda}{2}\)
4. All of these
Subtopic: Standing Waves |
68%
Level 2: 60%+
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Given the equation for a wave on the string, \(y = 0.5\sin(5x-3t)\) where \(y\) and \(x\) are in metres and \(t\) in seconds, the ratio of the maximum speed of particle to the speed of wave is:
| 1. | \(1:1\) | 2. | \(5:2\) |
| 3. | \(3:2\) | 4. | \(4:5\) |
Subtopic: Wave Motion |
84%
Level 1: 80%+
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If the transverse displacement of a string clamped at both ends is given by \(y(x,t)= (12~\text{cm}) \sin(6.28x)\cos(3.14t),\) where \(x\) is in cm and \(t\) is in seconds, then which of the following is not true?
| 1. | The velocity of the component wave is \(0.5~\text{cm/s}\). |
| 2. | The amplitude of one of the component waves is \(6~\text{cm}\). |
| 3. | The distance between two consecutive nodes is \(0.5~\text{cm}\). |
| 4. | \(x= 0.25~\text{cm}\) is the first node except the nodes at the ends. |
Subtopic: Standing Waves |
61%
Level 2: 60%+
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Given below are two statements:
| Statement I: | A pressure wave can be generated from a displacement wave. |
| Statement II: | Displacement and pressure waves have a phase difference of \(\dfrac{\pi }{2}.\) |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
Subtopic: Pressure Wave in Sound |
85%
Level 1: 80%+
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A string of length \(l\) is fixed at one end and free at the other. If it resonates in different modes, then the ratio of frequencies is:
1. \(1:2:3:~.......\)
2. \(1:3:5:7~.......\)
3. \(1:2:4:8~.......\)
4. \(1:3:9:~.......\)
1. \(1:2:3:~.......\)
2. \(1:3:5:7~.......\)
3. \(1:2:4:8~.......\)
4. \(1:3:9:~.......\)
Subtopic: Standing Waves |
84%
Level 1: 80%+
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