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 :

Two wires, A and B, of a musical instrument 'Sitar' produce 3 beats per second. If the tension of B is raised, the number of beats becomes 1 beat per second. If the frequency of A is 450 Hz, then the original frequency of B will be:

The fundamental frequency of an open organ pipe is 200 Hz. When the half-length of the pipe is immersed in water, the fundamental frequency of the air column in the pipe will be:

A vibrating tuning fork of frequency 1000 Hz is placed near the open end of a long cylindrical tube. The tube has a side opening and is also fitted with a movable reflecting piston. As the piston is moved through x distance, the intensity of sound changes from a maximum to a minimum for an observer at the side opening. If the speed of sound is 350 meters per second, then x is-

 In a guitar, two strings  A and B made of same material are slightly out of tune and produce beats of frequency 6 Hz. When tension in B is slightly decreased, the beat frequency increases to 7 Hz.  If the frequency of A is 530 Hz, the original frequency of B will be

A string with a mass 2.50 kg is under a tension of 200 N. The length of the stretched string is 20.0 m. If the transverse jerk is struck at one end of the string, how long does it take for the disturbance to reach the other end?

A stone dropped from the top of a tower of height 300 m splashes into the water of a pond near the base of the tower. When is the splash heard at the top given that the speed of sound in air is 340 m/sec? (Take g=9.8 $m/s^2$)

A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension in the wire so that the speed of a transverse wave on the wire equals the speed of sound in dry air at 20°C = 343 m/sec.

The speed of sound in air is:

A bat emits an ultrasonic sound of frequency 1000 kHz in the air. If the sound meets a water surface, what is the wavelength of the reflected sound? (The speed of sound in air is 340 m/sec and in water is 1486 m/sec)

$\begin{array}{rcl}& & 1. 3.4\times {10}^{-4} m\\ & & 2. 1.49\times {10}^{-3} m\\ & & 3. 2.34\times {10}^{-2} m\\ & & 4. 1.73\times {10}^{-3} m\end{array}$

A bat emits an ultrasonic sound of frequency 1000 kHz in the air. If the sound meets a water surface, what is the wavelength of the refracted sound?

(Speed of sound in air is 340 m/sec and in water 1486 m/sec.)

$$\begin{gathered} \left(1\right) 3.4\times {10}^{-4} m \\ \left(2\right) 1.4\times {10}^{-3} m \\ \left(3\right) 2.5\times {10}^{-4} m \\ \left(4\right) 1.8\times {10}^{-3} m \end{gathered}$$

Two sitar strings, A and B, playing the note 'Ga,' are slightly out of tune and produce 6 Hz beats. The tension in the string A is slightly reduced, and the beat frequency is found to be reduced to 3 Hz. If the original frequency of A is 324 Hz, what is the frequency of B?

A train, standing at the outer signal of a railway station blows a whistle of frequency 400 Hz in still air. What is the frequency of the whistle for a platform observer when the train approaches the platform with a speed of 10 m/sec?

A hospital uses an ultrasonic scanner to locate tumors in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is 1.7 km/s? The operating frequency of the scanner is 4.2 MHz.

$$\begin{gathered} \left(1\right) 3.0\times {10}^{-4} m \\ \left(2\right) 4.0\times {10}^{-4} m \\ \left(3\right) 3.5\times {10}^{-4} m \\ \left(4\right) 2.0\times {10}^{-4} m \end{gathered}$$

A transverse harmonic wave on a string is described by $y\left(x,t\right)=3.0\sin \left(36t+0.018x+\frac{\pi }{4}\right)$ where x and y are in cm and t in sec. The positive direction of x is from left to right.

What is the shortest distance between two successive crests in the wave?

For the travelling harmonic wave, $y\left(x,t\right)=2.0\cos 2\pi \left(10t-0.0080x+0.35\right)$ where x and y are in cm and t is in seconds. The phase difference between the oscillatory motion of two points separated by a distance of 4 m will be:

$\begin{array}{rcl}& & 1. 0.8\pi rad\\ & & 2. \pi rad\\ & & 3. 6.4\pi rad\\ & & 4. 4\pi rad\end{array}$

 The transverse displacement of a string (clamped at both ends) is given by

$y(x,t)=0.06\sin \left(\frac{2\pi }{3}x\right)\cos \left(120\pi t\right)$ 

where x and y are in m and t in sec. The length of the string is 1.5 m and its mass is $3\times {10}^{-2} kg$. The tension in the string is:

$$\begin{gathered} \left(1\right) 540 N \\ \left(2\right) 648 N \\ \left(3\right) 200 N \\ \left(4\right) 425 N \end{gathered}$$

$$\begin{gathered} y=2 \cos \left(3x\right) \sin \left(10t\right) represents: \\ \left(1\right) a stationary wave. \\ \left(2\right) a travelling wave. \\ \left(3\right) both stationary and travelling wave. \\ \left(4\right) none of the above. \end{gathered}$$

A wire stretched between two rigid supports vibrates in its fundamental mode with a frequency of 45 Hz. The mass of the wire is $3.5\times {10}^{-2}$ kg and its linear mass density is$4.0\times {10}^{-2}$   kg/m. What is the speed of the transverse wave on the string?

A one-meter long tube open at one end, with a movable piston at the other end, shows resonance with a fixed frequency source (a tuning fork of frequency 340 Hz) when the minimum tube length is 25.5 cm. The speed of sound in air at the temperature of the experiment is: (The edge effects may be neglected.)

Which of the following represents a standing wave?

A train, standing in a station yard, blows a whistle of frequency 400 Hz in still air. The wind starts blowing in the direction from the yard to the station with a speed of 10 m/sec. What is the speed of sound for an observer standing on the station’s platform?

A traveling harmonic wave on a string is described by $y\left(x,t\right)=7.5\sin \left(0.0050x+12t+\frac{\pi }{4}\right)$.

What are the displacement of oscillation of a point at x = 1 cm and t = 1 sec?

A SONAR system fixed in a submarine operates at a frequency 40.0 kHz. An enemy submarine moves towards the SONAR with a speed of 360 km/h. What is the frequency of sound reflected by the enemy submarine? (the speed of sound in water to be 1450 m/sec.)

Earthquakes generate sound waves inside the earth. Unlike a gas, the earth can experience both transverse (S) and longitudinal (P) sound waves. Typically the speed of the S wave is about 4.0 km/s, and that of the P waves is 8.0 km/s. A seismograph records P and S waves from an earthquake. The first P wave arrives 4 min before the first S wave. Assuming the waves travel in a straight line, at what distance does the earthquake occur?

A bat is flitting about in a cave, navigating via ultrasonic beeps. Assume that the sound emission frequency of the bat is 40 kHz. During one fast swoop directly toward a flat wall surface, the bat moves at 0.03 times the speed of sound in the air. What frequency does the bat hear reflected off the wall?

Which of the following phenomenon cannot take place with sound waves?

The speed of sound in air is independent of its:

The waves which cannot travel without medium are:

When a wave propagating through a medium encounters a change in medium, then which of the following property remains the same?