A rectangular block of mass $m$ and area of cross-section $A$ floats in a liquid of density $\rho $. If it is given a small vertical displacement from equilibrium it  undergoes with a time period $T,$ then
  • A$T $$  \propto \frac{1}{{\sqrt m }}$
  • B$T$ $ \propto $ $\sqrt \rho $
  • C$T$  $ \propto \frac{1}{{\sqrt A }}$
  • D$T $ $ \propto \frac{1}{\rho }$
AIPMT 2006, Diffcult
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