Discussion
A string of length \( L \) fixed at both ends has, for its fundamental mode, a wavelength of
Answer: A
Fixed ends force nodes at both, and the fundamental has no interior node, so the length holds half a wave:
\[ L \;=\; \frac{\lambda}{2} \quad \Longrightarrow \quad \lambda \;=\; 2L. \]
The frequency is then \( c/2L \). A quarter wave in the length would need one free end, as in a closed organ pipe
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