QuestionJune 5, 2025

What wavelengths will produce a standing wave?

What wavelengths will produce a standing wave?
What wavelengths will
produce a standing
wave?

Solution
4.7(353 votes)

Answer

Wavelengths are \lambda = \frac{2L}{n}, where n is a positive integer. Explanation 1. Identify the condition for standing waves Standing waves occur when the length of the medium is an integer multiple of half-wavelengths. 2. Use the formula for standing wave wavelengths The formula for the wavelength \lambda that produces a standing wave in a medium of length L is given by **\lambda = \frac{2L}{n}**, where n is a positive integer (1, 2, 3,...).

Explanation

1. Identify the condition for standing waves<br /> Standing waves occur when the length of the medium is an integer multiple of half-wavelengths.<br /><br />2. Use the formula for standing wave wavelengths<br /> The formula for the wavelength $\lambda$ that produces a standing wave in a medium of length $L$ is given by **$\lambda = \frac{2L}{n}$**, where $n$ is a positive integer (1, 2, 3,...).
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