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Q. In a resonace air column experiment, first and second resonances are obtained at lengths of air columns $l_1$ and $ l_2$, the third resonance will be obtained at a length of

Oscillations

Solution:

$l_1 +e = \frac{\lambda}{4}$ $\Rightarrow $ (1)
$l_2 + e = \frac{3 \lambda}{4}$ $\Rightarrow $ (2)
from (1) , (2) sub e, $\lambda$ in
$l_3 + e = \frac{5 \lambda}{4}$