Questions: The diagram at the right is a snapshot in time of a wave moving along a rope. Which diagram below represents a wave vibrating with the same frequency and moving through a different rope with two times the speed?

The diagram at the right is a snapshot in time of a wave moving along a rope. Which diagram below represents a wave vibrating with the same frequency and moving through a different rope with two times the speed?
Transcript text: The diagram at the right is a snapshot in time of a wave moving along a rope. Which diagram below represents a wave vibrating with the same frequency and moving through a different rope with two times the speed?
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Solution

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Solution Steps

Step 1: Analyzing the relationship between frequency, speed, and wavelength

The problem states that the frequency is the same, but the speed is doubled. The relationship between speed (v), frequency (f), and wavelength (λ) of a wave is given by the equation v = fλ. Since the frequency is constant, if the speed doubles, the wavelength must also double.

Step 2: Identifying the correct diagram

The original wave has a wavelength that spans approximately 3 grid squares. We need to find the diagram with a wavelength twice as long, spanning approximately 6 grid squares. The middle diagram satisfies this condition.

Final Answer: The middle diagram is correct.

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