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Q. No.
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 . If the train's speed is increased by 25 m/s, the frequency registered is . If the speed of sound is 300 m/s, then : is:
1. 3:5
2. 5:7
3. 7:9
4. 9:10
Subtopic: Doppler's Effect (OLD NCERT) |
83%
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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. \(2f_0\)
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. \(1.5~\text{m}\)
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
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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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%
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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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