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Q. No.The equation of vibration of a taut string, fixed at both ends, is given by:
\(y=(4~\text{mm})~\cos\Big(\dfrac{\pi x}{30~\text{cm}}\Big)~\sin\Big(400\pi~ \text{s}^{-1}t\Big) \)
The speed of waves on the string is:
1. \(30\) m/s
2. \(60\) m/s
3. \(90\) m/s
4. \(120\) m/s
\(y=(4~\text{mm})~\cos\Big(\dfrac{\pi x}{30~\text{cm}}\Big)~\sin\Big(400\pi~ \text{s}^{-1}t\Big) \)
The speed of waves on the string is:
1. \(30\) m/s
2. \(60\) m/s
3. \(90\) m/s
4. \(120\) m/s
Subtopic: Â Standing Waves |
 87%
From NCERT
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The separation between a node and the next antinode in a vibrating air column is \(20\) cm. The speed of sound is \(320\) m/s. The frequency of sound is:
1. \(128\) Hz
2. \(256\) Hz
3. \(400\) Hz
4. \(800\) Hz
Subtopic: Â Standing Waves |
 77%
From NCERT
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The fundamental frequencies of a closed pipe and an open pipe are identical. The first overtone for the closed pipe is \(f_c\) and for the open pipe is \(f_o.\) Their ratio \(\dfrac{f_c}{f_o}\) is:
| 1. | \(1\) | 2. | \(1/2\) |
| 3. | \(2/3\) | 4. | \(3/2\) |
Subtopic: Â Standing Waves |
 69%
From NCERT
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The first overtone of a closed pipe has a frequency \(f_c.\) A frequency that is \(2f_c\) can be excited from an open pipe of the same length but vibrating in its:
| 1. | \(2^{\text{nd}}\) harmonic | 2. | \(3^{\text{rd}}\) harmonic |
| 3. | \(6^{\text{th}}\) harmonic | 4. | \(12^{\text{th}}\) harmonic |
Subtopic: Â Standing Waves |
 65%
From NCERT
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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. \(2\sqrt3~\text{mm}\)
Subtopic: Â Standing Waves |
 53%
From NCERT
NEET - 2022
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The length of a wire between the two ends of a sonometer is \(100\) cm. What should be the positions of two bridges below the wire so that the three segments of the wire have their fundamental frequencies in the ratio \(1:3:5\)?
1. \(\frac{1500}{23} \mathrm{~cm}, \frac{500}{23} \mathrm{~cm} \)
2. \(\frac{1500}{23} \mathrm{~cm}, \frac{300}{23} \mathrm{~cm} \)
3. \(\frac{300}{23} \mathrm{~cm}, \frac{1500}{23} \mathrm{~cm} \)
4. \(\frac{1500}{23} \mathrm{~cm}, \frac{2000}{23} \mathrm{~cm}\)
1. \(\frac{1500}{23} \mathrm{~cm}, \frac{500}{23} \mathrm{~cm} \)
2. \(\frac{1500}{23} \mathrm{~cm}, \frac{300}{23} \mathrm{~cm} \)
3. \(\frac{300}{23} \mathrm{~cm}, \frac{1500}{23} \mathrm{~cm} \)
4. \(\frac{1500}{23} \mathrm{~cm}, \frac{2000}{23} \mathrm{~cm}\)
Subtopic: Â Standing Waves |
From NCERT
NEET - 2013
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An organ pipe filled with a gas at \(27^\circ \text{C}\) resonates at \(400\) Hz in its fundamental mode. If it is filled with the same gas at \(90^\circ \text{C},\) the resonance frequency at the same mode will be:
| 1. | \(420\) Hz | 2. | \(440\) Hz |
| 3. | \(484\) Hz | 4. | \(512\) Hz |
Subtopic: Â Standing Waves |
 67%
From NCERT
NEET - 2022
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NEET 2025 - Target Batch
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