Final answer:
The length of the air column in the closed tube is approximately 0.3359 meters.
Step-by-step explanation:
The length of an air column in a closed tube that resonates with a fundamental frequency of 256 Hz can be calculated using the formula:
Length = (Speed of sound)/(4 x Frequency)
Given that the speed of sound is 343 m/s and the fundamental frequency is 256 Hz, we can substitute these values into the formula to find the length:
Length = (343 m/s)/(4 x 256 Hz) = 0.3359 m
Therefore, the length of the air column is approximately 0.3359 meters.