A cylindrical tube open at both ends has a fundamental frequency \(f_0\) in the air. The tube is dipped vertically in water such that half its length is inside water. The fundamental frequency of the air column now will be:
1. \(\frac{3f_0}{4}\)
2. \(f_0\)
3. \(\frac{f_0}{2}\)
4. \(2f_0\)

Subtopic:  Standing Waves |
 68%
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The maximum possible wavelength in an open organ pipe of length \(l\) is:
1. \(l\) 2. \(2l\)
3. \(3l\) 4. \(4l\)
Subtopic:  Standing Waves |
 69%
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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 |
 89%
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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. \(1.5~\text{m}\)
Subtopic:  Wave Motion |
 68%
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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 |
 82%
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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 |
 52%
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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

Subtopic:  Standing Waves |
 66%
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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 |
 83%
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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 |
 55%
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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 |
 82%
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