A string is fastened tightly between two walls ... - JAMB Physics 2001 Question

For a string fixed at both ends and plucked at the middle, the fundamental frequency is given

by f₀ = v/λ, where v = velocity of sound, λ = wave length.

At its fundamental, note, the the length of the string is given l = λ/2, => λ₀ = 2l, where λ₀ = wave length fundamental note. for the first over tone, λ₁ = l.

For the second over tone, λ₂ = 21/3 = (2 x 24)/3 = 16cm.

i.e. λ₂ = 16cm.