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Q. No.A string of mass per unit length equal to \(7 \times10^{-3}~\text{kg/m}\) is subjected to a tension equal to \(70~\text{N}\). The speed of the transverse wave on this string is equal to:
1. \(10~\text{m/s}\)
2. \(50~\text{m/s}\)
3. \(100~\text{m/s}\)
4. \(200~\text{m/s}\)
Subtopic: Travelling Wave on String |
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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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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
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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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 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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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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The dimensional formula for the wave number is:
| 1. | \( {\left[{M}^0 {L}^{-1} {T}^0\right]} \) | 2. | \( {\left[{M}^0 {L}^0 {T}^{-1}\right]} \) |
| 3. | \( {\left[{M}^0 {L}^1 {T}^0\right]} \) | 4. | \( {\left[{M}^0 {L}^0{T}^1\right]}\) |
Subtopic: Wave Motion |
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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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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 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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