The mass of a string is 2.5 × 10-3 kg, and it is stretched so that the tension in it is 250 N. A transverse wave traveling on this string has a frequency of 300 Hz and a wavelength of 0.45 m. What is the length of the string?

Answer 1

Mass per unit length m₀ = m/L,
Velocity in the stretched string is
v = sqrt(T/m₀) =sqrt(T•L/m),

λ=v/f = sqrt(T•L/m)/f,

L=f²λ²m/T