Question

235.The speed of transverse waves in a stretched string is 700cm/sec.If the string is 2m long the frequency with which it resonates in fundamental mode is

Answer 1

v = 7 m/s         L = 2m 

We assume that the string is held tightly at the two ends.  The stretched string resonates in the fundamental mode => the length of the string L = 1/2* wavelength.

     wavelength = 2 L = 4 m
     frequency = 700 cm/sec / 4m  = 1.75 Hz