The graph between fundamental frequency \((f)\) and corresponding tension \((T)\) in a sonometer wire is best represented by:
| 1. | ![]() |
2. | ![]() |
| 3. | ![]() |
4. | ![]() |
If the speed of sound in air is \(320\) m/s, then with what frequency of sound will an air column of \(2\) m long pipe closed at one end will resonate?
1. \(120\) Hz
2. \(200\) Hz
3. \(280\) Hz
4. All of these
A pipe, \(30.0\) cm long, is open at both ends.
| (i) | Which harmonic mode of the pipe resonates a \(1.1\) kHz source? |
| (ii) | Will resonance with the same source be observed if one end of the pipe is closed? |
Take the speed of sound in air as \(330\) m s–1.
| (i) | (ii) | |
| 1. | First | No |
| 2. | Second | No |
| 3. | First | Yes |
| 4. | Second | Yes |
| Assertion (A): | Sound waves in a gas are pressure waves, but these are also accompanied by changes in local temperature. |
| Reason (R): | Sound waves are propagated in gas through an adiabatic process and hence accompanied by temperature variations. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
The figure shows the snapshot of a travelling sine wave in a string. Four elemental portions \(a,b,c\) and \(d\) are indicated on the string. The elemental portion with maximum potential energy is/are:

1. \(a\)
2. \(b\)
3. \(c\)
4. \(b \text{ and } d\)
| Assertion (A): | Sound travels faster on a hot summer day than on a cold winter day. |
| Reason (R): | The velocity of sound is directly proportional to the square root of its absolute temperature. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
| Assertion (A): | Where two vibrating tuning forks having frequencies \(256~\text{Hz}\) and \(512~\text{Hz}\) are held near each other, beats cannot be heard. |
| Reason (R): | The principle of superposition is valid only if the frequencies of the oscillators are nearly equal. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
| Assertion (A): | Beats can also be observed by two light sources as in sound. |
| Reason (R): | Light sources have constant phase difference. |
| 1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
| 3. | (A) is true but (R) is false. |
| 4. | Both (A) and (R) are false. |
| Assertion (A): | In the case of a stationary wave, a person hears a loud sound at the nodes as compared to the antinodes. |
| Reason (R): | In a stationary wave, all the particles of the medium vibrate in phase. |
| 1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
| 3. | (A) is true but (R) is false. |
| 4. | Both (A) and (R) are false. |
| Statement I: | Sound waves travelling from air into water, incident obliquely, bend towards the normal. |
| Statement II: | Sound waves travel more slowly in water than in air. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |