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When air column of a resonance tube is vibrated together with a tuning fork, 3 beats are heard per second either the temperature of the air column is $51^{0} C$ or $16^{0} C$ the frequency of the tuning fork is _____ HZ

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answer is 98.

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Detailed Solution

$f_{1} - f_{2} = 2 Δ f \frac{f_{1}}{f_{2}} = \sqrt{\frac{T_{1}}{T_{2}}} = \sqrt{\frac{51 + 273}{16 + 273}} = \sqrt{\frac{324}{289}} = \frac{18}{17} f_{2} - f = 3 f i n d f$

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