Question

rank the following waves from highest to lowest energy. wave 1 wave 2 wave 3 1,2,3 3,2,1 1,3,2 2,1,3

Explanation:

Step1: Recall Energy - Frequency Relationship

The energy of a wave (for electromagnetic waves, applicable here) is related to frequency by \( E = hf \) (where \( h \) is Planck's constant, \( f \) is frequency). Higher frequency means higher energy. Frequency is inversely related to wavelength (\( f=\frac{c}{\lambda} \)), but more directly, frequency is the number of cycles per unit time (or per unit length in the graph, since it's a spatial graph of the wave). So, more cycles (higher frequency) mean higher energy.

Step2: Count Cycles (Frequency) of Each Wave

• Wave 1: Visually, count the number of cycles (oscillations) in the given grid. It has the most number of cycles (highest frequency).
• Wave 3: Next in number of cycles (frequency).
• Wave 2: Least number of cycles (lowest frequency).

So the order from highest to lowest energy (since energy ∝ frequency) is Wave 1, Wave 3, Wave 2.

Answer:

1,3,2