$A$ thin wire of length $l$ having linear mass density $\rho$ is bent into a circular loop with $C$ as its centre,as shown in the figure. The moment of inertia of the loop about the line $AB$ is

  • A
    $\frac{5 \rho l^3}{16 \pi^2}$
  • B
    $\frac{\rho l^3}{16 \pi^2}$
  • C
    $\frac{\rho l^3}{8 \pi^2}$
  • D
    $\frac{3 \rho l^3}{8 \pi^2}$

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