| 1. | \(\dfrac{3f}{2}\) | 2. | \(2f\) |
| 3. | \(\dfrac{f}{2}\) | 4. | \(f\) |
| 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. | \(3:1\) | 2. | \(1:2\) |
| 3. | \(2:1\) | 4. | \(1:3\) |
| 1. | \(8:9\) | 2. | \(9:7\) |
| 3. | \(9:8\) | 4. | \(7:9\) |
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. | \(420~\text{Hz}\) | 2. | \(440~\text{Hz}\) |
| 3. | \(484~\text{Hz}\) | 4. | \(512~\text{Hz}\) |
The length of the string of a musical instrument is \(90\) cm and has a fundamental frequency of \(120\) Hz. Where should it be pressed to produce a fundamental frequency of \(180\) Hz?
| 1. | \(75\) cm | 2. | \(60\) cm |
| 3. | \(45\) cm | 4. | \(80\) cm |
| 1. | \(13.2~\text{cm}\) | 2. | \(8~\text{cm}\) |
| 3. | \(12.5~\text{cm}\) | 4. | \(16~\text{cm}\) |
The two nearest harmonics of a tube closed at one end and open at the other end are \(220\) Hz and \(260\) Hz. What is the fundamental frequency of the system?
| 1. | \(20\) Hz | 2. | \(30\) Hz |
| 3. | \(40\) Hz | 4. | \(10\) Hz |
| 1. | \(L\) | 2. | \(2L\) |
| 3. | \(\dfrac{L}{2}\) | 4. | \(4L\) |