Consecutive resonances occur at wavelengths of 8 m and 4.8 m in an organ pipe closed at one end. what is the length of the organ pipe? (note: resonances occur at l = nλ/ 4, where l is the pipe length, λ is the wavelength, and n = 1, 3, 5,…)

Length of the organ pipe is 6 meters.

Explanation:

Let resonance occur at wavelengths of 8 m at n and wavelength of 4.8 m at (n+2). We know that resonance occurs at,

L = 2 n.................(1)

And,

(from equation (1))

n = 3

Put the value of n in equation (1). So,

So, the length of the organ pipe is 6 meters. Hence, this is the required solution.

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