Question

what will occur when the trough of wave a overlaps the trough of wave b?
destructive interference will occur, causing the new wave to have more energy than wave a or wave b.
constructive interference will occur, causing the new wave to have more energy than wave a or wave b.
destructive interference will occur, causing the new wave to have less energy than wave a or wave b.
constructive interference will occur, causing the new wave to have less energy than wave a or wave b.

Explanation:

When the trough of one wave overlaps the trough of another wave, it's constructive interference. In constructive interference, the amplitudes of the waves add up, increasing the energy of the resulting wave.

Answer:

Constructive interference will occur, causing the new wave to have more energy than Wave A or Wave B.