For a certain organ pipe, three successive resonance frequencies are observed at 425,595 and 765 ~Hz , respectively. The length of the pipe is (speed of sound in air =340 ~ms ⁻¹ )

Step-by-step solution

For closed organ pipe only odd harmonies are possible. Fundamental frequency Fundamental frequency for a closed organ pipe aligned & v₀= v₀ 4 l 85= 340 4 l & [ v₀= 595-425 2 = 765-595 2 =85 ~Hz ] & l= 340 4 85 =1 ~m aligned