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]
  • 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

    $30.5 \times 10^{4}\; \mathrm{N}$

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  • [AIIMS 2015]