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physics Physics For High Schools (KS4)
 
Solved problems for the chapter:
 

Speed of Sound in Air

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Propagation of Sound
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Refraction, Diffraction, and Interference of sound
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Detailed solution steps are available at:
 
https://en.openprof.com/wb/chapter:speed_of_sound_in_air/3619/


Example 1.

The lowest tone of a concert piano has a frequency of 27.50 Hz. What is its wavelength if the speed of sound in air is 340 m/s?

    
Example 2.

The wavelength of a tone in air is 0.8 m. What is its wavelength in water? (The speed of sound in air is 340 m / s and in water 1400 m / s.)

    
3.

In what percentage does the speed of sound in the air increase, if the temperature increases from to ?

    
4.

The speaker is attached to a column of height 6 m and emits sound on all sides evenly. At a distance of 10 m from the speaker, at a height of 2 m, there is a microphone, as shown in the figure. What frequencies does the amplified microphone receive? The speed of sound is 340 m/s.


    
5.

A sound with a certain frequency is transmitted through the iron and passes into the air. The speed of sound propagation in iron is 5000 m/s and in air 340 m/s. The wavelength of sound in the air is 8 m. Calculate the frequency of sound in air and iron. What is the wavelength of sound in iron?

    
6.

A sound wave travels through water at a speed of 1400 m/s. The sound wave frequency is 800 Hz. What is the distance between the compression and rarefaction of the wave?

    
7.

A longitudinal seismic wave propagates from the hypocenter of an earthquake at a speed of 8.2 km/s and a transverse one with a speed of 4.6 km/s. The longitudinal wave reaches the seismological measuring station 30 s earlier than the transverse one. How far from the measuring station is the hypocenter of the earthquake?

    
8.

One end of a 50 m long steel pipe is hit with a hammer. On the other hand, we hear the sound of the hammer 0.01 seconds later. The density of the steel is . What is the Young modulus of steel?

    

9.

The wavelength of a harmonic sound wave propagating through the air is 1 m. In a certain position, a rarefaction appears at a certain moment. How long will it take for the compression to appear there? The speed of sound in the air is 340 m/s.

    
10.

A gun fires a bullet with a speed of 800 m/s. The impact of the bullet on the target is heard after 0.47 s. How far is the target from the gun? Sound travels in the air at a speed of 340 m/s.

    
11.

A ship measures the depth of the sea beneath it using sonar. The sonar emits an ultrasonic wave that propagates toward the bottom, bounces off, and is detected again on the ship. The time elapsed from transmission to detection of the reflected wave is 0.3 s. How deep is the sea if the speed of sound in water is 1400 m/s?

    
12.

What is the sound intensity if the sound intensity level is ?

    
13.

A gear rotates at a speed of 3000 rpm. A steel tab is set next to the gear so that each of its teeth hits it. How many teeth does the gear have if the tab emits sound with a frequency of 800 Hz?