Q. No.The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is:
1.
\(3:1\)
2.
\(1:2\)
3.
\(2:1\)
4.
\(1:3\)
| 1. | \(8:9\) | 2. | \(9:7\) |
| 3. | \(9:8\) | 4. | \(7:9\) |
| 1. | \(420~\text{Hz}\) | 2. | \(440~\text{Hz}\) |
| 3. | \(484~\text{Hz}\) | 4. | \(512~\text{Hz}\) |
A string of length \(l\) is fixed at both ends and is vibrating in second harmonic. The amplitude at antinode is \(2\) mm. The amplitude of a particle at a distance \(l/8\) from the fixed end is:
| 1. | \(2\sqrt2~\text{mm}\) | 2. | \(4~\text{mm}\) |
| 3. | \(\sqrt2~\text{mm}\) | 4. | \(2\sqrt3~\text{mm}\) |
| 1. | \(1:2\) | 2. | \(1:1\) |
| 3. | \(\sqrt{2}:1\) | 4. | \(1:\sqrt{2}\) |
| Assertion (A): | A glass tube partially filled with water represents an open organ pipe. |
| Reason (R): | The open end corresponds to an antinode and the end in contact with water, to a node. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True and (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
| 1. | \(\dfrac{2\pi\lambda}{a}\) | 2. | \(\dfrac{2\pi a}{\lambda}\) |
| 3. | \(\dfrac{\lambda}{a}\) | 4. | \(\dfrac{a}{\lambda}\) |
If the equation of a wave is represented by: \(y=10^{-4}~ \mathrm{sin}\left(100t-\dfrac{x}{10}\right)~\text m,\) where \(x \) is in meters and \(t\) in seconds, then the velocity of the wave will be:
| 1. | \(100\) m/s | 2. | \(4\) m/s |
| 3. | \(1000\) m/s | 4. | \(0\) m/s |
Two waves have the following equations:
If in the resultant wave, the frequency and amplitude remain equal to the amplitude of superimposing waves, then the phase difference between them will be:
1.
2.
3.
4.
If the tension and diameter of a sonometer wire of fundamental frequency n are doubled and density is halved, then its fundamental frequency will become:
1.
2.
3. n
4.
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