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Q. No.A source of sound gives \(5\) beats per second when sounded with another source of frequency \(100\) per second. The second harmonic of the source, together with a source of frequency \(205\) per second, gives \(5\) beats per second. What is the frequency of the source?
1. \(95~\text{Hz}\)
2. \(100~\text{Hz}\)
3. \(105~\text{Hz}\)
4. \(205~\text{Hz}\)
Subtopic: Beats |
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Level 1: 80%+
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The equation of vibration of a taut string, fixed at both ends, is given by:
\(y=(3~\text{mm})~\text{cos}\Big(\dfrac{\pi x}{10~\text{cm}}\Big)~\text{sin}(800\pi~\text{s}^{-1}~\text{t})\)
The speed of waves on the string is:
1. \(20\) m/s
2. 40 m/s
3. \(80\) m/s
4. \(160\) m/s
\(y=(3~\text{mm})~\text{cos}\Big(\dfrac{\pi x}{10~\text{cm}}\Big)~\text{sin}(800\pi~\text{s}^{-1}~\text{t})\)
The speed of waves on the string is:
1. \(20\) m/s
2. 40 m/s
3. \(80\) m/s
4. \(160\) m/s
Subtopic: Standing Waves |
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Level 1: 80%+
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Given below are two statements:
| Assertion (A): | In a stationary wave, there is no transfer of energy. |
| Reason (R): | The ratio of kinetic energy to potential energy is independent of the position. |
| 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. |
Subtopic: Standing Waves |
61%
Level 2: 60%+
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Given below are two statements:
| Assertion (A): | The change in air pressure affects the speed of sound. |
| Reason (R): | The speed of sound in gases is proportional to the square of pressure. |
| 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. |
Subtopic: Speed of Sound |
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Level 2: 60%+
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Given below are two statements:
| Assertion (A): | Ocean waves hitting a beach are always found to be nearly normal to the shore. |
| Reason (R): | Ocean waves are longitudinal waves. |
| 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. |
Subtopic: Types of Waves |
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Level 3: 35%-60%
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Given below are two statements:
| 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. |
Subtopic: Beats |
Level 3: 35%-60%
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Given below are two statements:
| 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. |
Subtopic: Speed of Sound |
Level 3: 35%-60%
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A tuning fork makes \(256\) vibrations per second in air. When the velocity of sound is \(330\) m/s, then the wavelength of the tone emitted is:
1. \(0.56\) m
2. \(0.89\) m
3. \(1.11\) m
4. \(1.29\) m
1. \(0.56\) m
2. \(0.89\) m
3. \(1.11\) m
4. \(1.29\) m
Subtopic: Wave Motion |
85%
Level 1: 80%+
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Given below are two statements:
| Statement I: | The speed of sound waves in a medium depends on the elastic modulus and the density of the medium. |
| Statement II: | The speed of sound in a gas is independent of its temperature. |
| 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. |
Subtopic: Speed of Sound |
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Level 2: 60%+
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A transverse wave is represented by \(y = 2 \sin ( \omega t - kx) ~\text{cm}.\) The value of wavelength (in cm) for which the wave velocity becomes equal to the maximum particle velocity, will be:
1. \( 4 \pi\)
2. \( 2 \pi\)
3. \(\pi\)
4. \(2\)
1. \( 4 \pi\)
2. \( 2 \pi\)
3. \(\pi\)
4. \(2\)
Subtopic: Wave Motion |
86%
Level 1: 80%+
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