Question

The illustration underneath depicts a wave with a 6-meter separation between points A and B.

f70b69ef-487a-4063-b9a8-20f5e56b57eb

What is the wave's wavelength? (Wavelength = overall distance/number of cycles)

(1 point)
Responses

2 m
2 m

6 m
6 m

3 m
3 m

4 m

1 answer

To determine the wavelength of the wave, we need to find out how many complete cycles of the wave are contained in the distance between points A and B, which is given as 6 meters.

The formula for wavelength (λ) is:

\[ \text{Wavelength} = \frac{\text{Overall Distance}}{\text{Number of Cycles}} \]

However, without knowing the exact number of cycles between A and B, we can't calculate it directly. If we assume there was 1 full cycle between A and B (which is common in questions like this when no additional information is provided), the wavelength would be:

\[ \text{Wavelength} = \frac{6 \text{ m}}{1} = 6 \text{ m} \]

If there were 2 cycles in that distance, the wavelength would be:

\[ \text{Wavelength} = \frac{6 \text{ m}}{2} = 3 \text{ m} \]

If there were 3 cycles, it would be:

\[ \text{Wavelength} = \frac{6 \text{ m}}{3} = 2 \text{ m} \]

And so on.

If the wave completes 1 full cycle from A to B (meaning A and B correspond to the same point in a wave cycle), then the wavelength is 6 m.

If the question provided the total number of cycles between A and B, the answer might differ.

Based on the solutions presented, if no specific details are given regarding the number of cycles, the likely correct response is 6 m.