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A turning fork of frequency 340Hz is vibrated j... - JAMB Physics 2003 Question

A 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
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Correct Option: D

Here's how to solve the problem:

  1. Understand Resonance in a Closed Tube: Resonance in a closed tube (closed at one end, which is the case as water is poured in) occurs when the length of the air column is a quarter of the wavelength (fundamental frequency) or an odd multiple of a quarter wavelength. The formula for the fundamental frequency is: L = λ/4. Higher resonance points occur at 3λ/4, 5λ/4, etc. We're looking for the maximum height, meaning the air column will be at its first resonance.

  2. Calculate the Wavelength (λ): Use the formula: v = fλ, where:

    • v = speed of sound (340
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