A sonometer wire oflength $1.5\ m$ is made of steel. The tension in it produces an elastic strain of $1 \%$. What is the fundamental frequency of steel if density and elasticity of steel are $7.7 \times 10^3 $ $kg/m^3$ and $2.2 \times 10^{11}$ $N/m^2$ respectively?

  • [JEE MAIN 2013]
  • A

    $770$

  • B

    $188.5$

  • C

    $178.2$

  • D

    $200.5$

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