What is the longest wavelength for standing sound waves in a 108.0 cm long tube that is open at both ends?
What is the second longest wavelength?
What is the third longest wavelength?
To find the longest wavelength for standing sound waves in a tube that is open at both ends, we can use the formula:
λ = 2L/n
where:
λ = wavelength
L = length of the tube
n = harmonic number
In this case, the length of the tube (L) is given as 108.0 cm.
For the longest wavelength, we need to find the lowest harmonic number, which is n = 1. Plugging the values into the formula, we get:
λ1 = 2(108.0 cm)/1 = 216.0 cm
So, the longest wavelength for standing sound waves in the tube is 216.0 cm.
To find the second longest wavelength, we need to find the next harmonic number, which is n = 2. Plugging the values into the formula, we get:
λ2 = 2(108.0 cm)/2 = 108.0 cm
So, the second longest wavelength for standing sound waves in the tube is 108.0 cm.
To find the third longest wavelength, we need to find the next harmonic number, which is n = 3. Plugging the values into the formula, we get:
λ3 = 2(108.0 cm)/3 = 72.0 cm
So, the third longest wavelength for standing sound waves in the tube is 72.0 cm.
Therefore, the answers to your questions are:
- Longest wavelength: 216.0 cm
- Second longest wavelength: 108.0 cm
- Third longest wavelength: 72.0 cm