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Assertion: Darcy's law can be applied to flow in a karst limestone conduit. Reason: groundwater flow is always proportional to the hydraulic gradient.

  • A.both the assertion and the reason are true but the reason does not explain the assertion
  • B.the assertion is true but the reason given for it is false
  • C.both the assertion and the reason are false, the flow being turbulent
  • D.both the assertion and the reason are true and the reason explains the assertion

Answer: C

Correct answer: both the assertion and the reason are false, the flow being turbulent

Both statements fail. Darcy’s law assumes laminar flow, and in a karst conduit the velocities are high enough for the flow to be turbulent, so discharge is no longer proportional to gradient and the law does not apply. The reason states that proportionality as though it were universal, which is precisely the assumption karst violates - along with fractured rock and very coarse gravel.

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