a violin string of length 40 cm and mass 1.2 gm has a frequency 500 hz when it produces fundamental tone where should you place your finger to increase frequency to 650 hz
frequency = n/2L . sqrt FT/ML
The Attempt at a Solution
i just wanna make sure if the answer i got is right frequency 1 is 500 and frequency 2 is 650
i made v1/v2= n1/n2 x 2L2/2L1 x sqrt FT1/FT2 x sqrt ML2/ML1
so i crossed length 2 with length one due to length is the same and force of tension and mass per unit length also and remains the number of segments the first one n1 is 1 because its fundamental while the other one is unknown and he's asking for i think ?
so v1/v2 = n1/n2 500/650=n1/n2 since n1=1 so n2 = 10/13 = 1.3 m ? so i have to place my fingers 1.3 m away from the first node or 1.3 is the number of segments or what ? i just got stuck here s