In a Resonance -Coulmn lab experiment to measure the velocity of sound, the first resonance is obtained at a length $l_1$ and the second resonance at a length $l_2$. Then-
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$\frac{\lambda}{4}=\ell_{1}+\mathrm{e}$ and $\frac{3 \lambda}{4}=\ell_{2}+\mathrm{e} \Rightarrow \ell_{2}=\frac{3 \lambda}{4}-\mathrm{e}$
also $\ell_{1}=\frac{\lambda}{4}-\mathrm{e} \Rightarrow 3 \ell_{1}=\frac{3 \lambda}{4}-3 \mathrm{e}$
Clearly $\ell_{2}>3 \ell_{1}$
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