An elevator accelerates upwards at a constant rate. A uniform string of length $L$ and mass $m$ supports a small block of mass $M$ that hangs from the ceiling of the elevator. The tension at distance $l$ from the ceiling is $T$ . The acceleration of the elevator is

  • A

    $\frac{T}{{M\ +\ m\ - \frac{{ml}}{L}}} - g$

  • B

    $\frac{T}{{2M\ +\ m\ - \frac{{ml}}{L}}} - g$

  • C

    $\frac{T}{{M\ +\ \frac{{ml}}{L}}} - g$

  • D

    $\frac{T}{{2M\ -\ m\ + \frac{{ml}}{L}}} - g$

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