Answer:
To determine the wavelengths that would create a standing wave pattern in a 25-cm open pipe, we can use the formula:
λ = 2L/n
Where:
λ is the wavelength
L is the length of the pipe
n is the harmonic number
In an open pipe, the fundamental frequency (first harmonic) occurs when n = 1. Therefore, for the fundamental frequency, we have:
λ = 2(25 cm)/1
λ = 50 cm
For a standing wave pattern to occur, the length of the pipe must be an integer multiple of half-wavelengths. So, any wavelength that satisfies the equation:
λ = 2L/n
where n is an integer, will create a standing wave pattern.
In the case of a 25-cm open pipe, the only wavelength that satisfies the equation is 50 cm, which corresponds to the fundamental frequency (first harmonic). Therefore, the answer is:
A. 50 cm
Step-by-step explanation: