In a resonance tube experiment when the tube is filled with water up to height of $17.0\, cm$ from bottom, it resonates with a given tuning fork. When the water level is raised the next resonance with the same tuning fork occurs at a height of $24.5\, cm$. If the velocity of sound in air is $330\, m / s ,$ the tuning fork frequency is$......Hz$
JEE MAIN 2020, Medium
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$\Rightarrow \lambda=2\left(l_{2}-l_{1}\right) \Rightarrow 2 \times(24.5-17)$
$\Rightarrow 2 \times 7.5=15 cm$
$\& v = f \lambda \Rightarrow 330=\lambda \times 15 \times 10^{-2}$
$\lambda=\frac{330}{15} \times 100 \Rightarrow \frac{1100 \times 100}{5}$
$\Rightarrow 2200 Hz$
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