Question

A transverse wave is shown here. Several wave properties are labeled with letters. Which of these statements accurately reflects the energy associated with the wave? Select ALL that apply.
Responses
A X is wavelength, and a decrease in X is associated with an increase in energy.X is wavelength, and a decrease in X is associated with an increase in energy.
B W is the amplitude, and a decrease in W is associated with an increase in energy.W is the amplitude, and a decrease in W is associated with an increase in energy.
C W is the amplitude, and an increase in W is associated with an increase in energy.W is the amplitude, and an increase in W is associated with an increase in energy.
D Y is the frequency, and an increase in Y is associated with an increase in energy.Y is the frequency, and an increase in Y is associated with an increase in energy.
E Z is the displacement, and a decrease in Z is associated with an increase in energy.

Answer 1

Correct choices: A, C, D.

Why:
- A: X is wavelength. For waves (and especially for photons) energy rises as wavelength decreases (E ∝ 1/λ for EM waves; for a mechanical wave at fixed wave speed f ∝ 1/λ so shorter λ → higher frequency → higher energy).
- C: W is amplitude. Energy carried by a wave increases with amplitude (for mechanical waves energy ∝ amplitude^2).
- D: Y is frequency. Increasing frequency increases the wave’s energy (higher f gives higher energy).

Incorrect:
- B is wrong (decreasing amplitude does not increase energy).
- E is wrong (Z is instantaneous displacement; a smaller instantaneous displacement does not mean greater total energy).