Question

The first overtone of a streched wire of given length is 320 hz.the first harmonic overtone is?

Answer 1

If a wire, vibrates in p segments, then its frequency is given by n=p2lTm−−−√ where l is length of wire, T is tension and m is mass per unit length. The frequency of first harmonic is n=12lTm−−−√ ?. (i) The frequency of second harmonic or first overtone is n=22lTm−−−√ ?. (ii) ⇒ n=2n ⇒ n=n2=3202=160Hz