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  • A uniform string of length  is suspended from a rigid support. A short wave Pulse is

A uniform string of length 80 \mathrm{~m} is suspended from a rigid support. A short wave Pulse is introduced at its lowest end. It starts moving up the string. The time taken to reach the support \left(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\right)

Option: 1

\frac{4}{7} \mathrm{sec}


Option: 2

\frac{7}{40} \mathrm{sec}


Option: 3

\frac{40}{17} \mathrm{sec}


Option: 4

\frac{40}{7} \mathrm{sec}


Answers (1)

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$$ \begin{aligned} & T=2 \sqrt{\frac{L}{g}} \\ & T=2 \sqrt{\frac{80}{9 \cdot 8}} \\ & T=2 \sqrt{\frac{800}{98}} \\ & T=2 \sqrt{\frac{400}{49}} \\ & T=2 \times \frac{20}{7} \\ & T=\frac{40}{7} \mathrm{sec} . \end{aligned}

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