The length of a rod is $20\, cm$ and area of cross-section $2\,c{m^2}$. The Young's modulus of the material of wire is $1.4 \times {10^{11}}\,N/{m^2}$. If the rod is compressed by $5\, kg-wt$ along its length, then increase in the energy of the rod in joules will be

  • A

    $8.57 \times {10^{ - 6}}$

  • B

    $22.5 \times {10^{ - 4}}$

  • C

    $9.8 \times {10^{ - 5}}$

  • D

    $45.0 \times {10^{ - 5}}$

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