The pressure that has to be applied to the ends of a steel wire of length $10\ cm$ to keep its length constant when its temperature is raised by $100^o C$ is: (For steel Young's modulus is $2 \times 10^{11}$ $Nm^{-1}$ and coefficient of thermal expansion is $1.1 \times 10^{-5}$ $K^{-1}$ )

  • [JEE MAIN 2014]
  • A

    $2.2 \times 10^9 $ $Pa$

  • B

    $2.2 \times 10^7$ $ Pa$

  • C

    $2.2 \times 10^6 $ $Pa$

  • D

    $2.2 \times 10^8$ $ Pa$

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  • [AIEEE 2009]