In a resonance tube open at one end, the end correction is 1.1 cm. If the shortest length of resonating air column with a tuning fork is 18 cm, the next resonating length will be

Step-by-step solution

For a resonance tube closed at one end, the resonating lengths l₁, l₂, l₃, are related to the wavelength and end correction e by: l₁ + e = 4 l₂ + e = 3 4 Given l₁ = 18 cm and e = 1.1 cm. 4 = 18 + 1.1 = 19.1 cm For the next resonating length l₂ : l₂ + e = 3 ( 4 ) l₂ + 1.1 = 3 19.1 l₂ + 1.1 = 57.3 l₂ = 57.3 - 1.1 = 56.2 cm Answer: 56.2 cm