Final answer:
The question involves determining the mode number and wavelength of a standing wave mode on a string by analyzing the number of antinodes or nodes and applying the formula for the wavelength of standing waves on a string.
Step-by-step explanation:
The question pertains to the concept of standing waves on a string in the context of a physics class. Specifically, it asks to determine the mode number and the wavelength of a standing wave mode on a 2 m long string. The mode number relates to the number of half wavelengths that fit within the length of the string. The wavelength (λ) of a standing wave is given by λ = 2L/n, where L is the string length and n is the harmonic number (the mode).
For example, if the string is 2 m long and the mode number is n, and you're asked to find the wavelength for the third harmonic (n = 3), the wavelength would be λ = 2L/n = 2*2/3 = 4/3 m.
To find the specific mode of the pattern depicted, one would need to count the number of antinodes or nodes, relate this to the harmonic number, and then use the formula mentioned above to calculate the wavelength.