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Consider a string of length L that is clamped at both ends so standing waves that...

Consider a string of length L that is clamped at both ends so standing waves that form on the string have nodes at end points. The string is actually composed of two parts, connected at the middle. Waves of first part (on left) have phase velocity vo, while waves of second part (on right) have phase velocity 2vo. Waves travel from end to end, but standing waves must have a node at the center (where the two parts are connected). Please sketch the three standing waves with the smallest frequencies and find these frequencies.

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