A mass of $20\ kg$ is hanging with support of two strings of same linear mass density. Now pulses are generated in both strings at same time near the joint at mass. Ratio of time, taken by a pulse travel through string $1$ to that taken by pulse on string $2$ is
Diffcult
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$\frac{4 T_{1}}{5}=\frac{3 T_{2}}{5} \Rightarrow T_{1}=\frac{3}{4} T_{2}$
$v=\sqrt{\frac{T}{\mu}} \Rightarrow \frac{v_{1}}{v_{2}}=\sqrt{\frac{3}{4}}$
${l_1} = 10 \times \frac{4}{5} = 8\,m$
${l_2} = 10 \times \frac{3}{5} = 6\,m$
$\frac{t_{1}}{t_{2}}=\frac{v_{1} / v_{1}}{v_{2} / v_{2}}=\frac{8}{6} \sqrt{\frac{4}{3}}=\frac{4 \sqrt{4}}{3 \sqrt{3}}$
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