Two solid spheres ($A$ and $B$) are made of metals having densities $\rho_A$ and $\rho_B$ respectively. If their masses are equal,then the ratio of their moments of inertia $(\frac{I_B}{I_A})$ about their respective diameters is:

  • A
    $(\frac{\rho_B}{\rho_A})^{2/3}$
  • B
    $(\frac{\rho_A}{\rho_B})^{2/3}$
  • C
    $\frac{\rho_A}{\rho_B}$
  • D
    $\frac{\rho_B}{\rho_A}$

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