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Q. No.The equation of wave is given as \(y=0.05 \sin(2x-4t),\) where \(x \) in meters and \(t\) in seconds. The velocity of the wave is equal to:
1. \(2\) m/s
2. \(4\) m/s
3. \(0.5\) m/s
4. \(0.25\) m/s
Subtopic: Wave Motion |
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A train is moving with a speed of 10 m/s towards a platform and blows a horn with frequency 400 Hz. Find the frequency heard by a passenger standing on the platform. Take speed of sound = 310 m/s.
1. 405 Hz
2. 425 Hz
3. 380 Hz
4. 413 Hz
1. 405 Hz
2. 425 Hz
3. 380 Hz
4. 413 Hz
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In the sonometer experiment, a string of mass \(18\) g having linear mass density \(20\) g/m oscillates in the fundamental mode (of frequency \(50\) Hz). The velocity of transverse waves in the string is:
1. \(70\) m/s
2. \(60\) m/s
3. \(90\) m/s
4. \(110\) m/s
1. \(70\) m/s
2. \(60\) m/s
3. \(90\) m/s
4. \(110\) m/s
Subtopic: Standing Waves |
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The equation of the progressive wave is given as \(y = 5 ~sin (6t + 0.03 x)\) Find the speed of wave. (Assume all units in SI units)
1. 50 m/s
2. 100 m/s
3. 200 m/s
4. 150 m/s
1. 50 m/s
2. 100 m/s
3. 200 m/s
4. 150 m/s
Subtopic: Travelling Wave on String |
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A car is moving with speed of 15 m/s towards a stationary wall. A person in the car press the horn and experience the change in frequency of 40 Hz due to reflection from stationary wall. Find the frequency of horn. (Use vsound = 330 m/s)
1. 420 Hz
2. 400 Hz
3. 320 Hz
4. 500 Hz
1. 420 Hz
2. 400 Hz
3. 320 Hz
4. 500 Hz
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A source of sound is moving away from a stationary observer with constant velocity 40 m/s. Find frequency heard by observer, if original frequency of source is 400 Hz and speed of sound in air is:
360 m/s
1. 330 Hz
2. 320 Hz
3. 360 Hz
4. 280 Hz
360 m/s
1. 330 Hz
2. 320 Hz
3. 360 Hz
4. 280 Hz
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If the angular frequency of the given motion \(y = sin ( \omega t) + cos (\omega t)\) is \(k \omega\), then value of \(k\) is:
1. \(1/2\)
2. \(1\)
3. \(2\)
4. none of these
1. \(1/2\)
2. \(1\)
3. \(2\)
4. none of these
Subtopic: Wave Motion |
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The equation of a progressive wave is given by; \(y = A \text{sin} (160t - 0.5x),\) where \(x\) and \(y\) are in metres and \(t\) is in seconds. If the speed of the wave is \(10 x\) m/s, then \(x=\)
1. \(32\)
2. \(23\)
3. \(16\)
4. \(50\)
1. \(32\)
2. \(23\)
3. \(16\)
4. \(50\)
Subtopic: Wave Motion |
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In a certain organ pipe, the consecutive frequencies for resonance are in the ratio of \(1:3:5...\) and the \(5^\mathrm{th}\) harmonic frequency is \(405\) Hz. The length of the organ pipe is: (velocity of sound \(=345\) m/s)
| 1. | \(\dfrac{108}{115}~\text{m}\) | 2. | \(\dfrac{81 }{ 115}~\text{m}\) |
| 3. | \(\dfrac{115 }{ 108}~\text{m}\) | 4. | \(\dfrac{115 }{81}~\text{m}\) |
Subtopic: Standing Waves |
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For a medium, it is given that: Young’s modulus \(=3.2 \times 10^{10}\) N/m2, density \(=8000\) kg/m3. What is the speed of sound in this medium?
1. \(1000\) m/s
2. \(2000\) m/s
3. \(500\) m/s
4. \(4000\) m/s
1. \(1000\) m/s
2. \(2000\) m/s
3. \(500\) m/s
4. \(4000\) m/s
Subtopic: Speed of Sound |
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