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In melde's experiment, when the tension decreases by $0.009$ kg-wt, the number of
loops changes from 4 to $5 .$ The initial tension is
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loops changes from 4 to $5 .$ The initial tension is
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Verified Answer
The correct answer is:
$0.025$ kg-wt.
For Melde's experiment. $\mathrm{TP}^{2}=$ constant where $\mathrm{T}$ is the tension and $\mathrm{P}$ is the number of loops.
$$
\begin{array}{l}
\therefore \mathrm{T}_{1} \mathrm{P}_{1}{ }^{2}=\mathrm{T}_{2} \mathrm{P}_{2}{ }^{2} \\
\therefore \mathrm{T}_{1}(4)^{2}=\left(\mathrm{T}_{1}-0.009\right)(5)^{2} \\
\therefore 9 \mathrm{~T}_{1}=0.009 \times 25 \\
\therefore \mathrm{T}_{1}=0.025 \mathrm{~kg}-\mathrm{wt}
\end{array}
$$
$$
\begin{array}{l}
\therefore \mathrm{T}_{1} \mathrm{P}_{1}{ }^{2}=\mathrm{T}_{2} \mathrm{P}_{2}{ }^{2} \\
\therefore \mathrm{T}_{1}(4)^{2}=\left(\mathrm{T}_{1}-0.009\right)(5)^{2} \\
\therefore 9 \mathrm{~T}_{1}=0.009 \times 25 \\
\therefore \mathrm{T}_{1}=0.025 \mathrm{~kg}-\mathrm{wt}
\end{array}
$$
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