Q. No.In an open organ pipe \(v_3\) and \(v_6\) are \(3^{\text{rd}}\) and \(6^{\text{th}}\) harmonic frequencies, respectively. If \(v_6 -v_3 =2200~\text{Hz}\) then length of the pipe is: (in mm)
1. \(275\)
2. \(225\)
3. \(200\)
4. \(250\)
1. \(275\)
2. \(225\)
3. \(200\)
4. \(250\)
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The fifth harmonic of a closed organ pipe is found to be in unison with the first harmonic of an open pipe. The ratio of lengths of closed pipe to that of the open pipe is \(\dfrac{5}{x}\). The value of \(x\) is:
1. \(4\)
2. \(2\)
3. \(1\)
4. \(3\)
1. \(4\)
2. \(2\)
3. \(1\)
4. \(3\)
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In an experiment with a closed organ pipe, it is filled with water by one fifth of its volume. The frequency of the fundamental note will change by:
1. \(25\%\)
2. \(20\%\)
3. \(-20\% \)
4. \(-25\%\)
1. \(25\%\)
2. \(20\%\)
3. \(-20\% \)
4. \(-25\%\)
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In the resonance experiment, two air columns (closed at one end) of \(100 ~\text{cm}\) and \(120 ~\text{cm}\) long, give \(15\) beats per second when each one is sounding in the respective fundamental modes. The velocity of sound in the air column is:
1. \(335~\text{m/s} \)
2. \(340~\text{m/s} \)
3. \(360~\text{m/s} \)
4. \(370~\text{m/s} \)
1. \(335~\text{m/s} \)
2. \(340~\text{m/s} \)
3. \(360~\text{m/s} \)
4. \(370~\text{m/s} \)
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A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities \(\rho_1\) and \(\rho_2\) respectively. The frequency of 9th harmonic of closed tube is identical with 4th harmonic of open tube. If the length of the closed tube is 10 cm and the density ratio of the gases is \(\rho_1 : \rho_2 = 1: 16\), then the length of the open tube is:
1. \(\dfrac{15}{7} ~\text {cm}\)
2. \(\dfrac{20}{9}~ \text {cm}\)
3. \(\dfrac{20}{7}~ \text {cm}\)
4. \(\dfrac{15}{9}~ \text {cm}\)
1. \(\dfrac{15}{7} ~\text {cm}\)
2. \(\dfrac{20}{9}~ \text {cm}\)
3. \(\dfrac{20}{7}~ \text {cm}\)
4. \(\dfrac{15}{9}~ \text {cm}\)
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A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is \(\mathrm{((a-1)/a)} \) then the value of \(\mathrm{a}\) is:
1. \(24\)
2. \(16\)
3. \(15\)
4. \(20\)
1. \(24\)
2. \(16\)
3. \(15\)
4. \(20\)
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Two open organ pipes of lengths \(60 ~\text{cm}\) and \(90 ~\text{cm}\) resonate at \(6^{th}\) and \(5^{th}\) harmonics respectively. The difference of frequencies for the given modes is:
(Speed of sound in air \(= 333 ~\text{m/s} \))
1. \(740~\text{Hz}\)
2. \(370~\text{Hz}\)
3. \(1480~\text{Hz}\)
4. \(2220~\text{Hz}\)
(Speed of sound in air \(= 333 ~\text{m/s} \))
1. \(740~\text{Hz}\)
2. \(370~\text{Hz}\)
3. \(1480~\text{Hz}\)
4. \(2220~\text{Hz}\)
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The fundamental frequency of a closed organ pipe is equal to the frequency of the first overtone of an open organ pipe of length \(60 ~\text{cm}.\) The length of a closed organ pipe is:
1. \(45 ~\text{cm}\)
2. \(30~\text{cm}\)
3. \(15 ~\text{cm}\)
4. \(60 ~\text{cm}\)
1. \(45 ~\text{cm}\)
2. \(30~\text{cm}\)
3. \(15 ~\text{cm}\)
4. \(60 ~\text{cm}\)
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A wave is given by the equation \(y=A \sin \{\pi(330 t-x)\},\) then the frequency of the wave is:
1. \(330~\text{Hz}\)
2. \(660~\text{Hz}\)
3. \(165~\text{Hz}\)
4. \(\dfrac{1}{330} ~\text{Hz}\)
1. \(330~\text{Hz}\)
2. \(660~\text{Hz}\)
3. \(165~\text{Hz}\)
4. \(\dfrac{1}{330} ~\text{Hz}\)
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In the sonometer, fundamental frequency changes from \(400~\text{Hz}\) to \(500~\text{Hz}\) keeping the same tension. Then the percentage change in length is:
1. \(5 \%\)
2. \(10\% \)
3. \(20 \%\)
4. \(40 \%\)
1. \(5 \%\)
2. \(10\% \)
3. \(20 \%\)
4. \(40 \%\)
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