The fundamental frequency of a sonometre wire is $n.$ If its radius is doubled and its tension becomes half, the material of the wire remains same, the new fundamental frequency will be

  • A

    $n$

  • B

    $\frac{n}{{\sqrt 2 }}$

  • C

    $\frac{n}{2}$

  • D

    $\frac{n}{{2\sqrt 2 }}$

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