To determine the type of interference that resulted in Waves 3 and 4, we need to consider the principles of constructive and destructive interference.
First, let's calculate the resultant amplitude for both potential constructive and destructive interference scenarios using Waves 1 and 2.
### Constructive Interference:
For constructive interference, the amplitudes of the interfering waves add up.
Amplitude of Wave 1 = 6 cm
Amplitude of Wave 2 = 4 cm
Constructive interference amplitude:
[tex]\[ 6 \, \text{cm} + 4 \, \text{cm} = 10 \, \text{cm} \][/tex]
### Destructive Interference:
For destructive interference, the amplitude of one wave is subtracted from the amplitude of the other wave.
Destructive interference amplitude:
[tex]\[ |6 \, \text{cm} - 4 \, \text{cm}| = 2 \, \text{cm} \][/tex]
Now, let's analyze the amplitudes of Waves 3 and 4 in light of these calculations:
### Wave 3:
Amplitude of Wave 3 = 7 cm
Wave 3 amplitude does not match either the constructive interference amplitude (10 cm) or the destructive interference amplitude (2 cm). Therefore, Wave 3 did not result from constructive or destructive interference based on the given data.
### Wave 4:
Amplitude of Wave 4 = 3 cm
Similarly, Wave 4 amplitude does not match either the constructive interference amplitude (10 cm) or the destructive interference amplitude (2 cm). Thus, Wave 4 did not result from constructive or destructive interference based on the given data.
### Conclusion:
Based on the information provided, Wave 3 and Wave 4 do not match the expected amplitudes for either constructive or destructive interference considering Waves 1 and 2. Therefore, the best statement about the data collected in Amir's table is:
- Both Wave 3 and Wave 4 resulted from unknown types of interference.
Hence, none of the provided answer options accurately describe the data in the table. Both Waves 3 and 4 do not coincide with the amplitudes expected from either constructive or destructive interference involving Waves 1 and 2.
