Question

In: Physics

Sound waves experiment; glass bottles as water is added Using what you know about harmonics and...

Sound waves experiment; glass bottles as water is added

Using what you know about harmonics and resonance, explain how different pitches are created when you blow across the bottle opening with different liquid levels.

Please explain the natural frequency and resonance behind the difference in pitch resulting from different water levels in the bottle as air is blown in. Thank you.

Solutions

Expert Solution

Stationary waves are produced by the superposition of two waves of same frequency and amplitude travelling with same velocity in opposite directions. Due to the constructive interference, these waves produce certain fixed points along the medium which undergo zero displacement. These points of no displacement are known as nodes. Midway between every nodes are regions of maximum displacement. These points are called antinodes.

Production of longitudinal stationary waves in air column

Standing waves can be formed in a tube of air due to the interference of longitudinal sound waves travelling in opposite directions. In a pipe closed at one end, the closed end is a displacement node and the open end is a displacement antinode.

About Resonance column apparatus

Vibration of air column can be set up in a resonance column apparatus. It consists of a long metal tube held vertically in a tall jar containing the water. The tube can be fixed in vertical position. The length of the air column can be varied by raising or lowering the tube.

      

Here, the surface of water will act as the closed end. When a vibrated tuning fork is held above the open end, longitudinal waves are sent down the air column. These waves are reflected at the water surface and thus produce standing waves. Nodes are produced at the water surface and antinodes are produced at the open end.

When the frequency of waves in the air column becomes equal to the natural frequency of tuning fork, a loud sound is produced in the air column. It is the condition for resonance. It occurs only when the length of air column is proportional to one-fourth of the wavelength of sound waves having frequency equal to frequency of tuning fork.

ie; For first resonance,    

     

For second resonance,

  

From the above equations we get the relation,

Thus the velocity of sound waves on air at room temperature can be found as,

   

ie; which can be calculated.

If v be the velocity of sound in air at temperature t°C, then the velocity of sound at 0°C can be calculated as,

  


Related Solutions

2) How do you know that different frequencies of sound waves all travel at (very nearly)...
2) How do you know that different frequencies of sound waves all travel at (very nearly) the same speed?
We talked about the Doppler Effect for sound waves. Electromagnetic waves exhibit the same type of...
We talked about the Doppler Effect for sound waves. Electromagnetic waves exhibit the same type of effect. Explain in detail how Doppler shift is used in astronomy, weather forecasting and radar.
What do you know about experiment design? And mention the types.
What do you know about experiment design? And mention the types.
Bats are not blind, but they can hunt in complete darkness, using ultrasonic sound waves to...
Bats are not blind, but they can hunt in complete darkness, using ultrasonic sound waves to detect both the position and the motion of their prey. (“Ultrasonic” means at a higher frequency than humans can hear. “Supersonic” means faster than the speed of sound.) High-intensity, high-frequency sound pulses are emitted from their snouts, and they hear echoes from sound waves reflected from the prey. This process is known as echolocation. a) Suppose the friendly and graceful bat pictured above tries...
Describe the physics of body boarding on a warm day using mechanical waves and sound and...
Describe the physics of body boarding on a warm day using mechanical waves and sound and fluid mechanics.
Explain how sound is actually a form of energy. In what medium do sound waves travel?...
Explain how sound is actually a form of energy. In what medium do sound waves travel? 1-2 paragraphs
Using what you know about the functions of money and the charecteristics of money, is there...
Using what you know about the functions of money and the charecteristics of money, is there anything else that could substitute for actual money? What about diamonds or a bank statement? Why would or would not something else work to meet our needs?
You are the chief accountant of BottlingCo, a bottling plant that manufactures glass bottles and sells...
You are the chief accountant of BottlingCo, a bottling plant that manufactures glass bottles and sells them to beverage companies. During the current year of 2018 BottlingCo purchases a significant number of shares of The Coca-Cola company. Since Bottling is a major bottling supplier of Coca-Cola, its intention of investing in Coca-Cola is not for the purposes of gaining more control, improve affiliation, or achieving other continuing business advantage. At year-end of 2018, the CEO of BottlingCo asks you to...
AUDITION *What are the main features of sound waves and how do they related to perception?...
AUDITION *What are the main features of sound waves and how do they related to perception? (hint: loudness/amplitude is one of them...) *What is the role of the ossicles in the auditory system? *How does transduction happen in the hair cells, and how does the brain interpret frequency from this information? *What do we mean by there being tonotopic maps in the cochlea? In the auditory cortex? *What is the sequence of brain areas that sound is processed through (in...
4. Evaluate the following statements using what you know about economics.             A) In an effort...
4. Evaluate the following statements using what you know about economics.             A) In an effort to control rising prices in the 1970s, many governments adopted price controls, fixing the prices        (and wages) for extended periods of time and thereby causing shortages of some goods and surpluses of others. Evaluate the following statement. “Shortages are a disadvantage of price controls, but the surpluses are    advantages that offset the disadvantages.”             B) According to political journalist Michael Kinsley, “The...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT