Final answer:
The length of the pipe is 1.36 meters.
Step-by-step explanation:
To calculate the length of the pipe, we can use the formula for the frequency of a closed pipe, which is given by:
f = (2n - 1) * v / (4L)
Where f is the frequency, n is the harmonic number, v is the velocity of sound in air, and L is the length of the pipe.
In this case, we are given that the frequency of the first overtone (n = 2) is 250 Hz and the velocity of sound in air is 340 m/s. Plugging these values into the formula and solving for L, we get:
L = (2n - 1) * v / (4f)
L = (2 * 2 - 1) * 340 / (4 * 250)
L = 1.36 m
Therefore, the length of the pipe is 1.36 meters.