Resonance in Sound Waves

Q.

Two successive resonance frequencies in an open organ pipe are 1944 Hz and 2592 Hz. Find the length of the tube. The speed of sound in air is $324m{s}^{-1}$

1. 1 m

2. 10 cm

3. 25 cm

4. 50 cm

Q.

Consider the situation shown in figure. The wire which has a mass of 4.00 g oscillates in its second harmonic and sets the air column in the tube into vibrations in its fundamental mode. Assuming that the speed of sound in air is 340 $m{s}^{-1}$, find the tension in the wire.

1. 11.6N

2. 340N

3. 8 N

4. None of these

Q.

A source of sound placed at the open end of a resonance column sends an acoustic wave of pressure amplitude $P_A$ inside the tube. If the atmospheric pressure is $P_0$ then the ratio of maximum and minimum pressure at the closed end of the tube will be

1. $\frac{P_A+P_0}{P_A-P_0}$

2. $\frac{P_A+2P_0}{P_A-2P_0}$

3. $\frac{P_A}{P_0}$

4. ($\frac{P_A+\frac{1}{2}{P}_0}{P_A-\frac{1}{2}{P}_0}$)