Stationary wave is produced along the stretched string of length 80 cm . The resonant frequencies of string are 90 ~Hz , 150 ~Hz and 210 Hz . The speed of transverse wave in the string is

Step-by-step solution

f ₁=90 ~Hz , f ₂=150 ~Hz , f ₃=210 ~Hz Fundamental frequency, f =30 ~Hz f ₁=3 f Length of string, L= n 2 = 2 ~L n = 2 80 3 100 = 160 300 ~m aligned & Speed, v=f & v=90 160 300 =48 ~m / s aligned