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

Grade:12th pass

## 1 Answers

Arun
25763 Points
4 years ago

Dear Ranjit

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

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