Answer:
The wavelength of the interfering waves for this mode is 0.425 meters.
Explanation:
To find the wavelength \( \lambda \) of the interfering waves for this mode, we can use the formula:
\[ \lambda = \frac{2L}{n} \]
Where:
- \( \lambda \) is the wavelength,
- \( L \) is the length of the string (0.85 m in this case),
- \( n \) is the number of nodes along the string (in this case, 4 nodes in addition to those at either end).
Substituting the given values into the formula:
\[ \lambda = \frac{2 \times 0.85}{4} \]
\[ \lambda = \frac{1.7}{4} \]
\[ \lambda = 0.425 \, \text{m} \]
So, the wavelength of the interfering waves for this mode is 0.425 meters.
