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In Melde's experiment in the transverse mode, the frequency of the tuning fork and the frequency of the waves in the string are in the ratio
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$1: 1$
In Melde's experiment, the change in frequency is produced when the tension in the string is increased. So, a resonance is required between tuning fork and the frequency of waves produced. For this, the frequencies of both should be same or their ratio be $1: 1$.
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