Two masses $M_{A}$ and $M_{B}$ are hung from two strings of length $l_{A}$ and $l_{B}$ respectively. They are executing SHM with frequency relation $f_{A}=2 f_{B}$, then relation
AIPMT 2000, Medium
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$f_{A}=2 f_{B}$
$\Rightarrow \frac{1}{2 \pi} \sqrt{\frac{g}{l_{A}}}=2 \times \frac{1}{2 \pi} \sqrt{\frac{g}{l_{B}}} $
$\quad \frac{1}{l_{A}}=4 \times \frac{1}{l_{B}}$
or, $l_{A}=\frac{l_{B}}{4},$ which does not depend on mass.
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