Waves have energy that causes particles in matter to vibrate. So, it stands to reason that...
A. the lower the energy, the slower the particles vibrate (which means a higher frequency).
B. the higher the energy, the faster the particles vibrate (which means a higher frequency).
C. the lower the energy, the faster the particles vibrate (which means a lower frequency).
D. the higher the energy, the slower the particles vibrate (which means a lower frequency).
B. the higher the energy, the faster the particles vibrate (which means a higher frequency).
To determine the relationship between wave energy, particle vibration, and frequency, we need to understand the key properties of waves.
Waves can be described by their amplitude, frequency, and wavelength. Amplitude refers to the maximum displacement of particles from their equilibrium position, while frequency measures the number of complete cycles the waves make per unit of time, and wavelength is the distance between corresponding points on adjacent waves.
Now, let's consider the options provided:
A. the lower the energy, the slower the particles vibrate (which means a higher frequency).
B. the higher the energy, the faster the particles vibrate (which means a higher frequency).
C. the lower the energy, the faster the particles vibrate (which means a lower frequency).
D. the higher the energy, the slower the particles vibrate (which means a lower frequency).
From the statement that waves have energy that causes particle vibration, we can conclude that higher wave energy leads to higher particle vibration. When particles vibrate more quickly, the frequency of the wave is higher. Therefore, option B is correct: the higher the energy, the faster the particles vibrate (which means a higher frequency).
Remember, to understand such relationships, it is important to have a basic understanding of the properties of waves and their behavior.