Materials Required
- Spring (Thick) of length 6 to 7 meter and 3 to 4 m
- Thread
- Door handle
- Frequency generator
- Oscillator (Vibration generator)
The Procedure
Real Lab Procedure
Spring with rigid ends
- Take a thick spring of length 6 to 7m.
- Tie one end to the handle of the door.
- Connect another edge of the spring to the oscillator.
- Connect frequency generator to oscillator.
- Power on the frequency generator.
- Change frequency to get the first harmonic.
- Note down the frequency. Calculate the corresponding time period.
- Change frequency to get second harmonics.
- Note down the frequency. Calculate the corresponding time period.
- Change frequency to get third harmonics.
- Find how the time period of higher harmonics is related to fundamental harmonics.
Spring without rigid ends
- Take a thick spring of length 3 to 4m.
- Tie one end to the thread.
- Tie the thread to the handle of the door.
- Connect another edge of the spring to the oscillator.
- Connect the frequency generator to the oscillator.
- Power on the frequency generator.
- Change frequency to get the first harmonic.
- Note down the frequency. Calculate the corresponding time period.
- Change frequency to get the third harmonic.
- Note down the frequency. Calculate the corresponding time period.
- Change frequency to get the fifth harmonic.
- Find how the time period of higher harmonics is related to fundamental harmonics.
Simulator Procedure
- Select the method.
- Select the length of the spring.
- Select the velocity of the sound wave.
- Click on the Start button.
- Click on the Next button and observe the different harmonics of corresponding methods.
- Observe how the time period changes for different harmonics.
- Click on the Reset button to redo the experiment with another method.
Observation
Sl.No |
Number of harmonics (n) |
Frequency (𝛎)
(Hz)
|
Time Period (T)
(s)
|
|
|
|
|
Conclusion
- When both ends of spring are rigid
The ratio of the time period of higher harmonic (Tn) to fundamental (T1) harmonic is 1/n.
- When one end of spring is not rigid
The ratio of the time period of higher harmonic (Tn) to fundamental (T1) harmonic is 1/n.