If the length of a closed organ pipe is 1.5 m and the velocity of sound is 330 m/s, then the frequency for the second note is

(1) 220 Hz

(2) 165 Hz

(3) 110 Hz

(4) 55 Hz

Concept Questions :-

Standing waves
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A pipe 30 cm long is open at both ends. Which harmonic mode of the pipe is resonantly excited by a 1.1 kHz source? (Take the speed of sound in air = 330 ms–1

(1) First

(2) Second

(3) Third

(4) Fourth

Concept Questions :-

Standing waves
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A source of sound placed at the open end of a resonance column sends an acoustic wave of pressure amplitude ${\rho }_{0}$ inside the tube. If the atmospheric pressure is ${\rho }_{A}$ , then the ratio of maximum and minimum pressure at the closed end of the tube will be :

1. $\frac{\left({\rho }_{A}+{\rho }_{0}\right)}{\left({\rho }_{A}-{\rho }_{0}\right)}$

2. $\frac{\left({\rho }_{A}+2{\rho }_{0}\right)}{\left({\rho }_{A}-2{\rho }_{0}\right)}$

3. $\frac{{\rho }_{A}}{{\rho }_{A}}$

4. $\frac{\left({\rho }_{A}+\frac{1}{2}{\rho }_{0}\right)}{\left({\rho }_{A}-\frac{1}{2}{\rho }_{0}\right)}$

Concept Questions :-

Standing waves
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Two closed pipe produce 10 beats per second when emitting their fundamental nodes. If their length are in ratio of 25 : 26. Then their fundamental frequency in Hz, are :

(1) 270, 280

(2) 260, 270

(3) 260, 250

(4) 260, 280

Concept Questions :-

Standing waves
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If v is the speed of sound in the air then the shortest length of the closed pipe which resonates to a frequency n :

(1) $\frac{v}{4n}$

(2) $\frac{v}{2n}$

(3) $\frac{2n}{v}$

(4) $\frac{4n}{v}$

Concept Questions :-

Standing waves
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The frequency of fundamental tone in an open organ pipe of length 0.48 m is 320 Hz. The speed of sound is 320 m/sec. Frequency of fundamental tone in closed organ pipe will be :

(1) 153.8 Hz

(2) 160.0 Hz

(3) 320.0 Hz

(4) 143.2 Hz

Concept Questions :-

Standing waves
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What is the minimum length of a tube, open at both ends, that resonates with tuning fork of frequency 350 Hz? [velocity of sound in air = 350 m/s]

(1) 50 cm

(2) 100 cm

(3) 75 cm

(4) 25 cm

Concept Questions :-

Standing waves
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The harmonics which are present in a pipe open at one end are :

(1) Odd harmonics

(2) Even harmonics

(3) Even as well as odd harmonics

(4) None of these

Concept Questions :-

Doppler effect
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The stationary wave $y=2a\mathrm{sin}kx\mathrm{cos}\omega \text{\hspace{0.17em}}t$ in a closed organ pipe is the result of the superposition of $y=a\mathrm{sin}\left(\omega \text{\hspace{0.17em}}t-kx\right)$ and

(1) $y=-a\mathrm{cos}\left(\omega \text{\hspace{0.17em}}t+kx\right)$

(2) $y=-a\mathrm{sin}\left(\omega \text{\hspace{0.17em}}t+kx\right)$

(3) $y=a\mathrm{sin}\left(\omega \text{\hspace{0.17em}}t+kx\right)$

(4) $y=a\mathrm{cos}\left(\omega \text{\hspace{0.17em}}t+kx\right)$

Concept Questions :-

Standing waves
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An open pipe of length l vibrates in the fundamental mode. The pressure variation is maximum at :

(1) 1/4 from ends

(2) The middle of the pipe

(3) The ends of the pipe

(4) At 1/8 from ends of pipe middle of the pipe

Concept Questions :-

Standing waves
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