Question

A student holds a pipe vertically, with one end submerged in water while the opposite end is out in the air. Just above the pipe, the student holds a tuning fork. The student carefully moves the pipe up and down, varying the level of water inside of it, until they detect a strong resonant sound.
The student detects this sound when the length of air inside of the pipe measures 56.25 cm, and then again when the length is 68.75 cm. Taking the speed of sound in air to be of 340. m s–1, what is the frequency of the tuning fork?

Answer 1

With the use of formula, the frequency of the tuning fork is 13.6 Hz

RESONANCE

A tuning fork can be used to determine the speed of sound in air using a resonance tube. The apparatus needed for this experiment are;

• Tuning fork

• beaker

• glass tube

• water

The experiment begins when a student holds a pipe vertically, with one end submerged in water while the opposite end is out in the air. Just above the pipe, the student holds a tuning fork. The student carefully moves the pipe up and down, varying the level of water inside of it, until they detect a strong resonant sound.

Given that the student detects this sound when the length of air inside of the pipe measures 56.25 cm, and then again when the length is 68.75 cm. Taking the speed of sound in air to be of 340. m s–1.

The parameters given are:

$L_{1}$ = 56.25 cm

$L_{2}$ = 68.75 cm

V = 340 m/s

The formula to use for this question is

V = 2F( $L_{2}$ - $L_{1}$ )

340 = 2F (68.75 - 56.25)

340 = 2 x 12.5 x F

340 = 25F

F = 340/25

F = 13.6 Hz

Therefore, the frequency of the tuning fork is 13.6 Hz

Learn more about Resonance here: brainly.com/question/3292140