A tuning fork sets up vibration in a string clamped at both ends. The wave speed for a transverse wave on this string is and the string vibrates in three loops. Find the length of the string.
Step 1: Given data
Frequency of the tuning fork,
Speed of the wave on the string,
Step 2: Find the wave length of the wave
Wave length of the wave,
Step 3: Find the length of the string
Number of loops,
Therefore, length of the string,
Hence. the length of the string is .