A solid cube of side \( a \) and density \( \rho_{0} \) floats on the surface of a liquid of den...

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A solid cube of side \( a \) and density \( \rho_{0} \) floats on the surface of a liquid of density \( \rho \). If the cube is slightly pushed downward, then it oscillates simple harmonically with a period of
(a) \( 2 \pi \sqrt{\frac{\rho_{0}}{\rho} \frac{a}{g}} \)
(b) \( 2 \pi \sqrt{\frac{\rho}{\rho_{0}} \frac{a}{g}} \)
(c) \( 2 \pi \sqrt{\frac{a}{\left(1-\frac{\rho}{\rho_{0}}\right) g}} \)
(d) \( 2 \pi \sqrt{\frac{a}{\left(1+\frac{\rho}{\rho_{0}}\right) g}} \)
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