[Physics Class Notes] on To Find the Speed of Sound in Air at Room Temperature Using a Resonance Tube By Two Resonance Positions Pdf for Exam

The physics practicals play a crucial role in helping the students understand the concepts better by doing them practically. It offers them hands-on experience of how the phenomenon takes place. We provide the complete experiment, how to conduct it, the substitution of values, and the further procedure that follows. With the resonance experiment Class 11, you can better understand the resonance concepts. We provide these experiments in PDF downloadable form to conduct them easily and quickly while you are at work

What is Resonance?

Before jumping directly into the experiment, let’s recall what Resonance is. 

When a person knocks, strikes, strums, plucks or otherwise disturbs a musical instrument, it is sent into vibrational motion at its inherent frequency. Each object’s native frequency corresponds to one of the several standing wave patterns that might cause it to vibrate. The harmonics of a musical instrument are commonly referred to as the instrument’s inherent frequencies. If another interconnected item pushes it with one of those frequencies, it can be compelled to vibrate at one of its harmonics (with one of its standing wave patterns). This is known as resonance, which occurs when one thing vibrates at the same natural frequency as another, causing the second object to vibrate.

Resonance Tube

A resonance tube (a hollow cylindrical tube partially filled with water and driven into vibration by a tuning fork) is one of our finest models of resonance in a musical instrument. The tuning fork was the item that induced resonance in the air inside the resonance tube. The tines of the tuning fork vibrate at their natural frequency, causing sound waves to impinge on the resonance tube’s aperture. The tuning fork’s impinging sound waves cause the air within the resonance tube to vibrate at the same frequency.

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In the absence of resonance, however, the sound of these vibrations is inaudible. Only when the first thing vibrates at the inherent frequency of the second object does resonance occur. If the tuning fork vibrates at a frequency that is not the same as one of the natural frequencies of the air column within the resonance tube, resonance will not occur, and the two items will not make a loud sound together. However, by raising and lowering a reservoir of water and therefore decreasing or increasing the length of the air column, the position of the water level may be changed so that the air column vibrates with the same frequency of the tuning fork causing the resonance to occur.

Experiment to Find the Speed of Sound in Air

Aim:

The aim is to find the speed of sound in air at room temperature using a resonance tube by two resonance positions. 

Apparatus Required for Resonance Experiment Physics:

Theory:

Consider the length of two air columns for first and second resonance as l1 and l2. Let the frequency of the tuning fork be f. 

Then, the formula is

[lambda = 2left ( I_{2}- I^{_{1}} right )]

The speed of air is calculated using the formula:

[ v= flambda]

On substituting the value in the formulae, we get, 

[v = 2fleft ( I_{2}- I^{_{1}} right )]

The Procedure of the Resonance Tube Experiment:

  • Fix the reservoir in the lowest position, by lowering the reservoir and tightening the pinchcock. 

  • Next, use a tuning fork of higher frequency to experiment. 

  • Next, loosen the pinchcock a bit to allow the water to fall into the metallic tube. When you hear the sound from the metallic tube, lose the pinchcock a bit. 

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Observations:

The temperature of the air column:

In the beginning:

At the end:

Calculate the mean temperature using the formula:

[t = frac{t_{1}+t_{2}}{2}]

f1= frequency of the first tuning fork

f2= frequency of the second tuning fork

Calculations:

Observations from the first tuning fork,

[v_{1} = 2f_{1}(I_{2}’I_{1}’))]

Observations from the second tuning fork,

[v_{2} = 2f_{2}(I_{2}”I_{1}”))]

Calculate the mean velocity using the formula:

[v = frac{v_{1}+v_{2}}{2}]

Result:

The speed of air at room temperature is ____ m/s.

Precautions:

  1. Keep the resonance tube vertical.

  2. Ensure that the pinchcock is tight. 

  3. Vibrate the tuning fork lightly using the rubber pad. 

  4. While vibrating the prongs, ensure that they are vertical at the mouth of the metallic tube. 

  5. Carefully read the water level rise and fall. 

  6. Use a set square to record the readings. 

Sources of Error:

  1. Loose pinchcock. 

  2. Resonance tubes might not be uptight. 

  3. The air column contains humidity which can lead to an increase in velocity. 

Viva Voce

1. What is the working principle of the resonance tube?

Answer: The idea of the resonance tube is based on the resonance of an air column with a tuning fork. Transverse stationary waves are formed in the air column. The wave’s node is at the water’s surface, while the wave’s antinode is at the tube’s open end.

2. What types of waves are produced in the air column?

Answer: The air column produces longitudinal stationary waves. The standing wave is another name for a stationary wave. Standing waves are waves with the same amplitude and frequency travelling in the opposite direction. Longitudinal waves can also generate standing waves.

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3. Do you find the velocity of sound in the air column or in the water column?

Answer: The sound velocity is determined in the air column, which is above the water column.

4. What are the possible errors in the result?

Answer: The following are two probable inaccuracies in the result: 

  1. Because the confined air in the air column is denser than the outside air, the air velocity may be reduced.

  2. Humidity in the air above the confined water column may enhance sound velocity.

5. Will the result be affected if we take other liquids than water?

Answer: It will not be altered in any way.

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