Question

question 5 (multiple choice worth 2 points)
(03.03 mc)

when two mechanical waves have a displacement in the same direction, and they overlap, what will the resulting wave look like and why?

• the new wave will have the same displacement as the original waves due to constructive interference.
• the new wave will have a smaller displacement than either of the original waves due to destructive interference.
• the new wave will have a greater displacement than either of the original waves due to constructive interference.
• the new wave will have the same displacement as the original waves due to destructive interference.

Explanation:

Analyze wave displacement direction

Using the Mechanical Waves knowledge point

When two mechanical waves overlap, their displacements combine according to the principle of superposition. Since both waves have displacements in the same direction (e.g., both positive), their individual displacements add together.

Determine the type of interference

Because the displacements are in the same direction, they reinforce each other. This reinforcement is known as constructive interference.

Evaluate the resulting wave properties

The addition of two displacements in the same direction results in a new wave with a greater displacement than either of the original waves.

Match with the correct option

• Option 1 suggests the same displacement due to constructive interference (incorrect, the displacements add up).
• Option 2 suggests a smaller displacement due to destructive interference (incorrect, destructive occurs when displacements are in opposite directions).
• Option 3 suggests a greater displacement due to constructive interference (correct).
• Option 4 suggests the same displacement due to destructive interference (incorrect).

Answer:

• (A) The new wave will have the same displacement as the original waves due to constructive interference.
• (B) The new wave will have a smaller displacement than either of the original waves due to destructive interference.
• (C) The new wave will have a greater displacement than either of the original waves due to constructive interference. (Correct answer)
• (D) The new wave will have the same displacement as the original waves due to destructive interference.