Question

A string of mass 3 grams has a lenght of 60cm.What must be the tension in the string so that when vibrating transversely it's first overtone has a frequency 200per sec

Answer 1

$$f=\frac{1}{2l}\sqrt{\frac{Tl}{m}}\\ 200=\frac{1}{2(0.6)}\sqrt{\frac{0.6T}{0.003}}\\T=288\ N$$