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

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

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. $\frac{({\rho }_A+{\rho }_0)}{({\rho }_A-{\rho }_0)}$

2. $\frac{({\rho }_A+2{\rho }_0)}{({\rho }_A-2{\rho }_0)}$

3. $\frac{{\rho }_A}{{\rho }_A}$

4. $\frac{\left({\rho }_A+\frac{1}{2}{\rho }_0\right)}{\left({\rho }_A-\frac{1}{2}{\rho }_0\right)}$

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

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

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

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

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

The stationary wave $y=2a\sin kx\cos \omega t$ in a closed organ pipe is the result of the superposition of $y=a\sin (\omega t-kx)$ and

(1) $y=-a\cos (\omega t+kx)$

(2) $y=-a\sin (\omega t+kx)$

(3) $y=a\sin (\omega t+kx)$

(4) $y=a\cos (\omega t+kx)$

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

(1) l/4 from ends

(2) The middle of the pipe

(3) The ends of the pipe

(4) At l/8 from ends of pipe