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
A$10.2 \times 10^{2} \;\mathrm{N}$
B$5.15 \times 10^{3}\; \mathrm{N}$
C$2.50 \times 10^{4}\; \mathrm{N}$
D$30.5 \times 10^{4}\; \mathrm{N}$
JEE MAIN 2020, Medium
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B$5.15 \times 10^{3}\; \mathrm{N}$
b Velocity of transverse wave $\mathrm{V} \propto \sqrt{\mathrm{T}}$
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