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Solution


Q.

For a certain organ pipe, the first three resonance frequencies are in the ratio of 1 : 3 : 5 respectively. If the frequency of fifth harmonic is 405 Hz and the speed of sound in air is 324 ms-1, the length of the organ pipe is ______ m.              [2023]

Ans.

(1)

For 5th harmonic in a closed organ pipe,

f5=5v4ℓ

⇒  405=5×3244ℓ

⇒  ℓ=1 m