Consider the situation shown in figure. The force $F$ is equal to the $m_2g/2.$ If the area of cross-section of the string is $A$ and its Young's modulus $Y$, find the strain developed in it. The string is light and there is no friction anywhere

828-550

  • A

    $\frac{{{m_2}g\,\left( {2{m_1} + {m_2}} \right)}}{{AY\,\left( {{m_1} + {m_2}} \right)\,}}$

  • B

    $\frac{{{m_2}g\,\left( {{m_1} + {m_2}} \right)}}{{2AY\,\left( {{m_1} + {m_2}} \right)\,}}$

  • C

    $\frac{{{m_2}g\,\left( {2{m_1} + {m_2}} \right)}}{{2AY\,\left( {{m_1} + {m_2}} \right)\,}}$

  • D

    None of these

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