A wire of area of cross-section ${10^{ - 6}}{m^2}$ is increased in length by $0.1\%$. The tension produced is $1000 N$. The Young's modulus of wire is

  • A

    ${10^{12}}\,N/{m^2}$

  • B

    ${10^{11}}\,N/{m^2}$

  • C

    ${10^{10}}\,N/{m^2}$

  • D

    ${10^9}\,N/{m^2}$

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  • [IIT 2013]