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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. \(95\) Hz
2. \(100\) Hz
3. \(105\) Hz
4. \(205\) Hz
Subtopic: Beats |
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The equation of vibration of a taut string, fixed at both ends, is given by:
\(y=(3~\text{mm})~\text{cos}\Big(\frac{\pi x}{10~\text{cm}}\Big)~\text{sin}(800\pi~\text{s}^{-1}~\text{t})\)
The speed of waves on the string is:
1. \(20\) m/s
2. 40 m/s
3. \(80\) m/s
4. \(160\) m/s
\(y=(3~\text{mm})~\text{cos}\Big(\frac{\pi x}{10~\text{cm}}\Big)~\text{sin}(800\pi~\text{s}^{-1}~\text{t})\)
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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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 |
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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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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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Given below are two statements:
| Assertion (A): | Where two vibrating tuning forks having frequencies 256 Hz and 512 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 |
From NCERT
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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 |
From NCERT
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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 |
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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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A transverse wave is represented by \(y = 2 sin ( \omega t - kx) \)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 |
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