The speed of sound in air is given as 340 m/s. The frequency of the fork is also given as 340 Hz.
Resonance occurs when the natural frequency of the fork matches the natural frequency of the air column in the tube.
The natural frequency of an air column in a cylindrical tube is given by the formula:
f = (n * v) / (2L)
where f is the frequency, n is the harmonic number (1 for the first harmonic, 2 for the second harmonic, etc.), v is the speed of sound in air, and L is the length of the air column.
In this case, we are given that the frequency of the fork is 340 Hz, so we can set up the equation:
340 = (n * 340) / (2L)
Simplifying, we have:
2L = n
L = n/2
Since the first harmonic corresponds to n = 1, the length of the air column at resonance is L = 1/2 = 0.5 m.
Therefore, the correct answer is C. 0.50 m.
turning fork of frequency 340Hz is vibrated just above a cylindrical tube of height 1.2m. If water is slowly poured into the tube, at what maximum height will resonance occur.
[speed of sound in air = 340ms-1]
A. 0.95m
B. 0.60m
C. 0.50m
D. 0.45m
1 answer