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Q. No.Two sitar strings, \(A\) and \(B,\) are tuned to play the same note (“Dha”), but are slightly out of tune and produce beats of frequency \(5~\text{Hz}.\) When the tension in string \(B\) is slightly increased, the beat frequency decreases by \(3~\text{Hz}.\) If the frequency of string \(A\) is \(425~\text{Hz},\) what was the original frequency of string \(B\text{?}\)
1. \(428~\text{Hz}\)
2. \(430~\text{Hz}\)
3. \(422~\text{Hz}\)
4. \(420~\text{Hz}\)
1. \(428~\text{Hz}\)
2. \(430~\text{Hz}\)
3. \(422~\text{Hz}\)
4. \(420~\text{Hz}\)
Subtopic: Beats |
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The correct figure that shows, schematically, the wave pattern produced by the superposition of two waves of frequencies \(9~\text{Hz}\) and \(11~\text{Hz}\), is:
| 1. |  |
| 2. |  |
| 3. |  |
| 4. |  |
Subtopic: Beats |
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A tuning fork \(\mathrm A\) of unknown frequency produces \(5\) beats per second with a fork of known frequency of \(340\) Hz. When fork \(\mathrm A\) is filed, the beat frequency decreases to \(2\) beats per second. What is the frequency of fork \(\mathrm A\)?
| 1. | \(342\) Hz | 2. | \(345\) Hz |
| 3. | \(335\) Hz | 4. | \(338\) Hz |
Subtopic: Beats |
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A set of \(20\) tuning forks is arranged in a series of increasing frequencies. If each fork gives \(4\) beats with respect to the preceding fork and the frequency of the last fork is twice the frequency of the first, then the frequency of the last fork is:
1. \(152~\text{Hz}\)
2. \(234~\text{Hz}\)
3. \(134~\text{Hz}\)
4. \(144~\text{Hz}\)
1. \(152~\text{Hz}\)
2. \(234~\text{Hz}\)
3. \(134~\text{Hz}\)
4. \(144~\text{Hz}\)
Subtopic: Beats |
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The velocity of sound in a gas in which two wavelengths \(4.08\) m and \(4.16\) m produce \(40\) beats in \(12\) s, will be:
1. \(282.8\) ms–1
2. \(175.5\) ms–1
3. \(353.6\) ms–1
4. \(707.2\) ms–1
1. \(282.8\) ms–1
2. \(175.5\) ms–1
3. \(353.6\) ms–1
4. \(707.2\) ms–1
Subtopic: Beats |
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A stationary observer receives sound from two identical tuning forks, one of which approaches and the other one recedes with the same speed (much less than the speed of sound). The observers hear \(2~\text{beats/sec}.\) The oscillation frequency of each tuning fork is \(\nu_0=1400~\text{Hz}\) and the velocity of sound in the air is \(350~\text{m/s}.\) The speed of each tuning fork is close to:
1. \(\dfrac{1}{4}~\text{m/s} \)
2. \(1~\text{m/s} \)
3. \(\dfrac{1}{2}~\text{m/s} \)
4. \(\dfrac{1}{8}~\text{m/s} \)
1. \(\dfrac{1}{4}~\text{m/s} \)
2. \(1~\text{m/s} \)
3. \(\dfrac{1}{2}~\text{m/s} \)
4. \(\dfrac{1}{8}~\text{m/s} \)
Subtopic: Beats |
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Two tuning forks \(A\) and \(B\) are sounded together giving rise to \(8\) beats in \(2~\text{s}\). When fork \(A\) is loaded with wax, the beat frequency is reduced to \(4\) beats in \(2~\text{s}\). If the original frequency of tuning fork \(B\) is \(380~\text{Hz}\), then the original frequency of tuning fork \(A\) is: (in Hz)
1. \(384\)
2. \(376\)
3. \(380\)
4. \(390\)
1. \(384\)
2. \(376\)
3. \(380\)
4. \(390\)
Subtopic: Beats |
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