$A$ square gate of size $1\,m \times 1\,m$ is hinged at its mid-point. $A$ fluid of density $\rho$ fills the space to the left of the gate. The force $F$ required to hold the gate stationary is

  • A
    $\frac{\rho g}{3}$
  • B
    $\frac{\rho g}{2}$
  • C
    $\frac{\rho g}{6}$
  • D
    $\frac{\rho g}{8}$

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