Choose the correct option: A standing wave is produced on a string clamped at one end and free at the other. The length of the string ______.

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A standing wave is produced on a string clamped at one end and free at the other. The length of the string must be an odd integral multiple of lambda/4. Explanation: The frequency (v) of a standing wave, fixed at one end and free at the other end is: v = ((2n + 1)/2) v/(2L) Since V = vlambda $\Rightarrow$ v = (n + $\frac{1}{2}$) (Vlambda)/(2L) $\Rightarrow$ L = ((2n + 1)/4)lambda $\Rightarrow$ L = lambda/4, (3lambda)/4,.... Therefore the length of the string is an odd integral multiple of lambda/4.

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