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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 |
83%
Level 1: 80%+
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A sound wave is passed through a chamber.
If the rms speed of molecules in a gas is \(v_1\) and the speed of sound is \(v_2\) in the gas, then:
1. \(v_1= v_2\)
2. \(v_1> v_2\)
3. \(v_1< v_2\)
4. \(v_1\leq v_2\)
Subtopic: Speed of Sound |
67%
Level 2: 60%+
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Stationary waves can be obtained in an air column even if interfering waves have different:
1. Amplitude
2. Wavelength
3. Velocity
4. Frequency
1. Amplitude
2. Wavelength
3. Velocity
4. Frequency
Subtopic: Standing Waves |
60%
Level 2: 60%+
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\(y\text-x\) graph of a travelling wave along \(+x\) direction is shown at any instant \(t\). (Symbols have their usual meanings). The velocity of a particle at:
| 1. | \(x_1\) is downward |
| 2. | \(x_2\) is downward |
| 3. | \(x_3\) is upward |
| 4. | \(x_4\) is downward |
Subtopic: Wave Motion |
68%
Level 2: 60%+
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Which one of the following graphs represents correctly the given wave equation at the origin?
\(y = 2\sqrt{3}\sin\left(2\pi x-3\pi t + \dfrac{\pi}{3}\right)\)
\(y = 2\sqrt{3}\sin\left(2\pi x-3\pi t + \dfrac{\pi}{3}\right)\)
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Wave Motion |
Level 4: Below 35%
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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 |
60%
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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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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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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