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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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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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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%
From NCERT
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A car with a siren is moving towards a hill at a speed of 108 km/h.  A person is standing at the foot of the hill. The frequency observed by a person is: (frequency of siren is 600 Hz, velocity of sound is 330 m/s)

1. 720 Hz

2. 660 Hz

3. 600 Hz

4. 630 Hz

Subtopic:  Doppler's Effect (OLD NCERT) |
 80%
From NCERT
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