What is the longest wavelength for standing sound waves in a 102.0 cm long tube that is open at both ends?

open at both ends? Isn't 102cm a half wavaelength?

To find the longest wavelength for standing sound waves in a tube that is open at both ends, we need to consider the fundamental frequency of the tube.

The fundamental frequency, also known as the first harmonic, is the lowest frequency at which a standing wave can be formed in a tube.

In a tube that is open at both ends, the length of the tube is equal to half of the wavelength of the fundamental frequency (L = λ/2).

To find the longest wavelength, we can use the formula:

λ = 2L

where λ represents the wavelength and L represents the length of the tube.

Given that the tube length (L) is 102.0 cm, we can substitute this value into the formula:

λ = 2 * 102.0 cm
λ = 204.0 cm

Therefore, the longest wavelength for standing sound waves in a 102.0 cm long tube that is open at both ends is 204.0 cm.