Final answer:
The wavelength of the standing wave is calculated by measuring the distance between two consecutive nodes or antinodes, which is equal to half the wavelength. For nodes at every 2.00 m along a string, the wavelength is 4.00 m.
Step-by-step explanation:
The question is asking to determine the wavelength of a standing wave formed on a string. A standing wave is a pattern formed by the interference of two waves traveling in opposite directions. The wavelength (λ) can be found by measuring the distance between two consecutive nodes or antinodes since this distance is equal to half the wavelength. In the context of a string with fixed ends, nodes are the points where the string does not move, and antinodes are points where the string moves with the maximum amplitude.
In the case where nodes are at x = 0.00 m, 2.00 m, 4.00 m, 6.00 m, 8.00 m, and 10.00 m, the distance between two consecutive nodes (for example, from 0.00 m to 2.00 m) is 2.00 m. Since this distance represents half the wavelength, doubling it will give the full wavelength. Therefore, the wavelength of the standing wave is 4.00 m.