A transverse wave travels on a taut steel wire with a velocity of ${v}$ when tension in it is $2.06 \times 10^{4} \;\mathrm{N} .$ When the tension is changed to $T$. the velocity changed to $\frac v2$. The value of $\mathrm{T}$ is close to
JEE MAIN 2020, Medium
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Velocity of transverse wave $\mathrm{V} \propto \sqrt{\mathrm{T}}$
$\mathrm{v} \rightarrow \frac{\mathrm{V}}{2} \Rightarrow \mathrm{T} \rightarrow \mathrm{T}^{\prime}=\frac{\mathrm{T}}{4}$
$\mathrm{T}^{\prime}=\frac{2.06 \times 10^{4}}{4}=5.15 \times 10^{3} \mathrm{N}$
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