Tension

The fundamental frequency (n) of a wire of length I and tension T is given by

n%3D%5Cfrac%7B1%7D%7B2l%7D%5Csqrt%7B%5Cfrac%7BT%7D%7Bm%7D%7D%2C

where m is mass per unit length of wire. Given,

%7B%7Bn%7D_%7B1%7D%7D%3Dn%2C%7B%7BT%7D_%7B1%7D%7D%3DT%2C%7B%7Bn%7D_%7B2%7D%7D%3D2n

%5Ctherefore

%5Cfrac%7B%7B%7Bn%7D_%7B1%7D%7D%7D%7B%7B%7Bn%7D_%7B2%7D%7D%7D%3D%5Csqrt%7B%5Cfrac%7B%7B%7BT%7D_%7B1%7D%7D%7D%7B%7B%7BT%7D_%7B2%7D%7D%7D%7D

%7B%7BT%7D_%7B2%7D%7D%3D%7B%7B%5Cleft(%20%5Cfrac%7B%7B%7Bn%7D_%7B2%7D%7D%7D%7B%7B%7Bn%7D_%7B1%7D%7D%7D%20%5Cright)%7D%5E%7B2%7D%7D%7B%7BT%7D_%7B1%7D%7D

%5Ctherefore

%7B%7BT%7D_%7B2%7D%7D%3D%7B%7B(2)%7D%5E%7B2%7D%7D%5Ctimes%2010%3D40N

Chapter Questions
1 MCQs