Two organ pipes closed at one end produce \(5\) beats per second in fundamental mode. If the ratio of their lengths is \(10:11\), then their frequencies (in Hz) are:

1. \(55,50\) 2. \(105,100\)
3. \(75,70\) 4. \(100,95\)

Subtopic:  Beats |
 80%
From NCERT
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If a travelling wave pulse is given by \(y=\frac{20}{4+(x+4 t)^2}~\text{m}\), then:
1. the pulse is traveling along the negative \(x\text-\)axis.
2. the speed of the pulse is \(4\) m/s.
3. the amplitude of the pulse is \(5\) m.
4. all of these.
Subtopic:  Wave Motion |
 85%
From NCERT
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Two wires, \(A\) and \(B,\) of a musical instrument 'Sitar' produce \(3\) beats per second. If the tension of \(B\) is raised, the number of beats becomes \(1\) beat per second. If the frequency of \(A\) is \(450~\text{Hz}\), then the original frequency of \(B\) will be:
1. \(447~\text{Hz}\)
2. \(453~\text{Hz}\)
3. \(449~\text{Hz}\)
4. \(451~\text{Hz}\)

Subtopic:  Beats |
 75%
From NCERT
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A train moves towards a stationary observer at 50 m/s. The train sounds a whistle and its frequency is registered by the observer as f1. If the train's speed is increased by 25 m/s, the frequency registered is f2. If the speed of sound is 300 m/s, then f1:f2 is:

1. 3:5

2. 5:7

3. 7:9

4. 9:10

Subtopic:  Doppler's Effect (OLD NCERT) |
 83%
From NCERT
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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%
From NCERT
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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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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%
From NCERT
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