# What is the ratio between the intensity of the fundamental and the third harmonic in a string plucked at the mid point of length?

Grade:12th pass

## 1 Answers

Arun
25757 Points
5 years ago

If I1 & I2  are the intensities of the fundamental and third harmonic, respectively then
I1/I3  = 81 [sin2($\pi$a/L)/sin2(3$\pi$a/L)]

Now if the string is plucked at its mid point then a = L/2
hence
I1/I3   = 81

Regards
Arun (askIITians forum expert)