The Young's modulus of a rubber string $8\, cm$ long and density $1.5\,kg/{m^3}$ is $5 \times {10^8}\,N/{m^2}$, is suspended on the ceiling in a room. The increase in length due to its own weight will be

  • [AIIMS 1986]
  • A

    $9.6 \times {10^{ - 5}}\,m$

  • B

    $9.6 \times {10^{ - 11}}\,m$

  • C

    $9.6 \times {10^{ - 3}}\,m$

  • D

    $9.6\, m$

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