In the experiment Standing Waves,if you continue to lwer the water level after recording l(m) at the first sound resonance at fixed tuning fork frequency, you will hear the sound again but sound gets louder (second resonance). At this point, by what factor has l(m) increased? Why?
what is the source of error occur in experiment Standing Waves (tuning fork)?
sorry, wrong typo...
the answer is when the water level is lower, the air in the glass tube. the changing of the L is to match the natural frequency of the air column inside the glass tube with the tuning fork that vibrate at fixed frequency. when the matching is achieve, the resonance occur which cause a louder sound
To understand why the l(m) value increases when the water level is lowered in the Standing Waves experiment, we have to consider the concept of resonance in a closed tube.
First, let's clarify the terminology used:
- l(m) refers to the length of the column of air (or in this case, water) in the tube.
- Resonance occurs when an external force (in this case, the sound wave produced by the tuning fork) matches the natural frequency of a system (the air column in the tube).
Now, let's explain the phenomenon step by step:
1. When the water level is initially set at a certain position, you measure the length of the column of water (l(m)) at the first sound resonance. This means that when the frequency of the tuning fork matches the natural frequency of the air column with that specific length, a standing wave is formed, and you can hear a loud sound.
2. As you lower the water level further, you will again reach a point where the sound becomes loud (second resonance). However, at this point, the length of the column of water (l(m)) has increased.
3. The increase in l(m) can be determined by comparing the original length with the length at the second resonance. Let's refer to the original length as l₁ and the length at the second resonance as l₂.
Now, let's answer the question: By what factor has l(m) increased, and why?
To determine the factor, we can use the formula:
Factor increase = l₂ / l₁
In this case, if the sound becomes louder, it means the length of the column of water has increased, so l₂ > l₁.
Since the factor is calculated as the ratio of the new length to the original length, the factor increase will be greater than 1.
In conclusion, the l(m) value increases by a factor greater than 1 because when you lower the water level in the tube, you are effectively increasing the length of the air column, which causes the natural frequency of the column to change and match the tuning fork's frequency at a different position, resulting in a louder sound.