Find the longest wavelength by resonating air in 20 cm tube which is opened both ends

To find the longest wavelength by resonating air in a 20 cm tube that is open at both ends, we can use the formula:

λ = 2L/n

where:
- λ is the wavelength
- L is the length of the tube
- n is the harmonic number (which represents the number of half-wavelengths that fit in the tube)

In this case, since the tube is open at both ends, the possible harmonic numbers are odd integers: n = 1, 3, 5, etc.

To find the longest wavelength, we need to find the maximum harmonic number that still fits within the length of the tube.

Given that the length of the tube is 20 cm, we can assume that the longest wavelength will correspond to the minimum harmonic number (n = 1). Plugging these values into the formula, we have:

λ = 2 * 20 cm / 1
= 40 cm

Therefore, the longest wavelength of air resonating in a 20 cm tube that is open at both ends is 40 cm.