A student is using a resonance tube and determines that

Question

A student is using a resonance tube and determines that three resonances occur at distances of 

L₁ = 0.170 m,

L₂ = 0.497 m,

 and 

L₃ = 0.844 m

 below the open end of the tube. The frequency of the tuning fork used is 

5.12  10² Hz.

 What is the average speed of sound from these data? (Enter your answer to three significant figures.) 
v_avg =   ____m/s