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Q. No.A wave traveling along a string is described by;
\(y(x,t)=0.004 \text{sin}(80x-4t)\)
in which the numerical constants are in SI units. The amplitude and the time period of the wave are, respectively:
1. \(0.004~\text m,\) \(4~\text s\)
2. \(0.004~\text m,\) \(\pi/2~\text s\)
3. \(80~\text m,\) \(\pi/2~\text s\)
4. \(80~\text m,\) \(4~\text s\)
Subtopic: Wave Motion |
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Level 1: 80%+
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The speed of the sound at \(0 ~^\circ\text{C}\) is nearly \(330~\text{m/s}.\) For a frequency of \(200~\text{Hz}\) the wavelength is:
1. \(1.0~\text m\)
2. \(1.5~\text m\)
3. \(1.65~\text m\)
4. \(1.75~\text m\)
1. \(1.0~\text m\)
2. \(1.5~\text m\)
3. \(1.65~\text m\)
4. \(1.75~\text m\)
Subtopic: Speed of Sound |
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A pipe of length \(11~\text{cm}\) is closed at one end. The first harmonic frequency of the pipe in the air at \(0^\circ \text{C}\) is:
(the velocity of sound at \(0^\circ \text{C}=330~\text{m/s}\))
1. \(1200~\text{Hz}\)
2. \(1000~\text{Hz}\)
3. \(800~\text{Hz}\)
4. \(750~\text{Hz}\)
(the velocity of sound at \(0^\circ \text{C}=330~\text{m/s}\))
1. \(1200~\text{Hz}\)
2. \(1000~\text{Hz}\)
3. \(800~\text{Hz}\)
4. \(750~\text{Hz}\)
Subtopic: Standing Waves |
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A pipe is \(15\) cm long and is open at both ends. Which harmonic mode of the pipe will resonate with a \(2.2\) kHz sound source?
(Given: the velocity of sound in air \(=330\) m/s)
| 1. | fundamental | 2. | second harmonic |
| 3. | third harmonic | 4. | fourth harmonic |
Subtopic: Standing Waves |
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A point source of sound is placed in a non-absorbing medium. Two points \(A\) and \(B\) are at a distance of \(2~\text m\) and \(3~\text m\) from the source, respectively. The ratio of the intensity of the wave at \(A\) to that at \(B\) is:
1. \(\sqrt 3:\sqrt 2\)
2. \(3:2\)
3. \(9:4\)
4. \(2:3\)
1. \(\sqrt 3:\sqrt 2\)
2. \(3:2\)
3. \(9:4\)
4. \(2:3\)
Subtopic: Energy of Waves |
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A sitar wire is replaced by another wire of the same length and material but with double the radius. If the tension in the wire remains the same, the fundamental frequency will become:
1. nine times
2. double
3. half
4. one-ninth
1. nine times
2. double
3. half
4. one-ninth
Subtopic: Standing Waves |
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The fundamental frequency of vibration of a sonometer wire changes when its tension is increased by a factor of \(9,\) while keeping the length and linear mass density constant. The factor by which the fundamental frequency changes is:
| 1. | \(4\) | 2. | \(\dfrac{1}{4}\) |
| 3. | \(3\) | 4. | \(\dfrac{1}{3}\) |
Subtopic: Standing Waves |
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A metallic wire with mass per unit length \(6\times 10^{-3}~\text{kg/m}\) is under the tension of \(60~\text N.\) What is the speed of transverse wave in the wire?
| 1. | \(100~\text{m/s}\) | 2. | \(500~\text{m/s}\) |
| 3. | \(600~\text{m/s}\) | 4. | \(10,000~\text{m/s}\) |
Subtopic: Travelling Wave on String |
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A longitudinal wave is represented by \(x = 10 ~\sin ~2 \pi \left( nt- {\dfrac x \lambda}\right)\) cm. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to:
| 1. | \(2 \pi\) cm | 2. | \(5 \pi\) cm |
| 3. | \(\pi\) cm | 4. | \({\dfrac {5 \pi} 2}\) cm |
Subtopic: Wave Motion |
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In the wave equation, \({y}=0.5 \sin \dfrac{2 \pi}{\lambda}(400 {t}-{x}) ~{\text m}, \) the velocity of the wave will be:
1. \(200~\text{m/s}\)
2. \(200 \sqrt 2~\text{m/s}\)
3. \(400~\text{m/s}\)
4. \(400 \sqrt 2~\text{m/s}\)
1. \(200~\text{m/s}\)
2. \(200 \sqrt 2~\text{m/s}\)
3. \(400~\text{m/s}\)
4. \(400 \sqrt 2~\text{m/s}\)
Subtopic: Wave Motion |
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