A tuning fork of frequency 340 Hz is struck and held near the open end of a cylindrical tube of height 1.2 m. The tube contains water. The speed of sound in air is 340 m/s. What is the minimum height

To solve this problem, we need to find the wavelength of the sound produced by the tuning fork and then determine the possible lengths of the air column that will cause resonance in the closed-end tube. Finally, we'll calculate the corresponding water heights and find the minimum among them.

Given:

• Frequency of tuning fork, $f = 340 \, \text{Hz}$
• Speed of sound in air, $v = 340 \, \text{m/s}$
• Total height of the cylindrical tube, $H = 1.2 \, \text{m}$

Step 1: Calculate the wavelength ($\lambda$) of the sound wave.
The relationship between the speed of sound ($v$), frequency ($f$), and wavelength ($\lambda