$A$ cylinder of radius $4 \ cm$ and height $10 \ cm$ is immersed in two liquids as shown. Specific gravity of oil is $0.5$. $2 \ cm$ of the cylinder is in the air. Select the $INCORRECT$ statement. Neglect atmospheric pressure.

  • A
    Force exerted by oil on the cylinder is zero.
  • B
    Force exerted by water on the cylinder is $0.96 \pi \ N$.
  • C
    Force exerted by both water and oil is $1.14 \pi \ N$.
  • D
    Frequency of oscillation does not depend on the density of oil,if the cylinder is displaced slightly.

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