A string, fixed at both ends, vibrates in a resonant mode with a separation of \( 2.0 \mathrm{~c...

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A string, fixed at both ends, vibrates in a resonant mode with a separation of \( 2.0 \mathrm{~cm} \) between the consecutive nodes. For the next higher resonant frequency, this separation is reduced to \( 1.6 \mathrm{~cm} \). Find the length of the string.
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