Question

directions: sort the statement as a true or false declaration about wave properties. amplitude is directly related to the energy of a mechanical wave (as amplitude increases, energy increases) true statement false statement

Explanation:

Step1: Recall wave energy - amplitude relation

For mechanical waves, the energy \( E \) is proportional to the square of the amplitude \( A \) (formula: \( E \propto A^2 \)). So as amplitude increases, energy (which depends on \( A^2 \)) also increases, meaning amplitude and energy (for mechanical waves) have a direct relationship (since if \( A \) increases, \( E \) increases).

Step2: Evaluate the statement

The statement says "Amplitude is directly related to the energy of a mechanical wave (as amplitude increases, energy increases)". From the wave energy - amplitude relationship, this is true because even though energy is proportional to \( A^2 \), an increase in \( A \) still leads to an increase in \( E \) (a direct relation in the sense of "as one increases, the other increases", not necessarily linear, but the directional relation holds).

Answer:

True Statement