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Two vibrating strings of the same material but lengths L and 2L have radii 2r and r, respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, one (length L) with frequency v1 and the other with frequency v2. The ratio v1/v2 is given by

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Two vibrating strings of the same material but lengths L and 2L have radii 2r and r, respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, one (length L) with frequency v1 and the other with frequency v2. The ratio v1/v2 is given by






 
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