A solid metallic sphere of radius $r$ is allowed to fall freely through air. If the frictional resistance due to air is proportional to the cross-sectional area and to the square of the velocity, then the terminal velocity of the sphere is proportional to which of the following?
  • A$r^2$
  • B$r$
  • C$r^{3/2}$
  • D$r^{1/2}$
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