Answer:
The length of the string is 0.266 meters.
Step-by-step explanation:
It is given that,
Mass of the string,

Tension in the string, T = 230 N
Frequency of wave, f = 160 Hz
Wavelength of the wave,

We need to find the length of the string. Let l is the length of the string. The speed of a transverse wave is given by :

M is the mass per unit length, M = m/l


The velocity of a wave is,



l = 0.266 meters
So, the length of the string is 0.266 meters. Hence, this is the required solution.