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.

Answer 1

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

Explanation:

• When the crests or troughs of two different  waves overlaps with each other,  addition of amplitudes of both the waves occurs which is known as constructive interference.

• When the crest and trough of two different ways overlaps with each other, subtraction between the amplitudes of both the waves occurs which is known as destructive interference.
• Energy of the wave is directly proportional to squares of amplitude of the wave.

Mathematically, $E\propto A^2$

Two troughs of two different waves A and B are adding together which means constructive interference will occur and energy of the resulting wave will be more than that of energy wave A and wave B.