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Q. No.The fundamental frequency of an open organ pipe is \(200~\text{Hz}\). If one end of the pipe is closed, its fundamental frequency becomes:
1.
\(100~\text{Hz}\)
2.
\(200~\text{Hz}\)
3.
\(50~\text{Hz}\)
4.
\(400~\text{Hz}\)
Subtopic: Standing Waves |
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Level 1: 80%+
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When height increases, the velocity of sound decreases:
| 1. | due to the decrease in pressure. |
| 2. | due to a decrease in temperature. |
| 3. | as a result of a decrease in both temperature and pressure. |
| 4. | statement is wrong. |
Subtopic: Speed of Sound |
58%
Level 3: 35%-60%
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A sufficiently long-closed organ pipe has a small hole at its bottom. Initially, the pipe is empty. Water is poured into the pipe at a constant rate. The fundamental frequency of the air column in the pipe:
| 1. | Constantly increases. |
| 2. | Increases at first, then becomes constant. |
| 3. | Constantly decreases. |
| 4. | Decreases at first, then becomes constant. |
Subtopic: Standing Waves |
56%
Level 3: 35%-60%
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Stationary waves can be obtained in an air column even if interfering waves have different:
1. Amplitude
2. Wavelength
3. Velocity
4. Frequency
1. Amplitude
2. Wavelength
3. Velocity
4. Frequency
Subtopic: Standing Waves |
61%
Level 2: 60%+
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A sound wave is passed through a chamber.
If the rms speed of molecules in a gas is \(v_1\) and the speed of sound is \(v_2\) in the gas, then:
1. \(v_1= v_2\)
2. \(v_1> v_2\)
3. \(v_1< v_2\)
4. \(v_1\leq v_2\)
Subtopic: Speed of Sound |
67%
Level 2: 60%+
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A string of length \(l\) is fixed at one end and free at the other. If it resonates in different modes, then the ratio of frequencies is:
1. \(1:2:3:~.......\)
2. \(1:3:5:7~.......\)
3. \(1:2:4:8~.......\)
4. \(1:3:9:~.......\)
1. \(1:2:3:~.......\)
2. \(1:3:5:7~.......\)
3. \(1:2:4:8~.......\)
4. \(1:3:9:~.......\)
Subtopic: Standing Waves |
83%
Level 1: 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 |
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Level 2: 60%+
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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 |
84%
Level 1: 80%+
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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 |
68%
Level 2: 60%+
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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 |
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Level 1: 80%+
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