Question

A pipe closed at one end is 1.0m long. The air in the pipe is set into vibration, and a fundamental note of frequency 85Hz is produced. Calculate the velocity of sound in the air. (Neglect end correction).

A) 340ms⁻1
B) 330ms⁻1
C) 170ms⁻1
D) 85ms⁻1

Answer 1

Using the fundamental frequency of a pipe closed at one end and its length, the velocity of sound in the air is calculated as 340 meters per second, which is option A.

Step-by-step explanation:

The question involves the concept of sound waves in physics, particularly in a pipe closed at one end, known as a resonant tube. To find the velocity of sound in the air using the given information about the fundamental frequency and the length of the tube, we can use the formula for the fundamental frequency of a pipe closed at one end:

Frequency (f) = (v / 4L), where 'v' is the velocity of sound in the air and 'L' is the length of the pipe.

By rearranging the formula for 'v', we get:
v = 4 * f * L

Substituting the given values:

v = 4 * 85Hz * 1.0m

v = 340 m/s

Thus, the velocity of sound in the air in this pipe is 340 meters per second, which corresponds to option A.