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Assertion (A): The geostrophic approximation can be used at the equator.

Reason (R): The Coriolis parameter is proportional to the sine of the latitude.

Select the correct answer from the options below.

  • A.Both A and R are true, and R is the correct explanation of A
  • B.Both A and R are true, but R is not the correct explanation of A
  • C.A is true but R is false
  • D.A is false but R is true

Answer: D

The reason is correct and is precisely why the assertion fails: with \( f \) vanishing at the equator, the geostrophic wind would be unbounded for any non-zero pressure gradient. In practice tropical pressure gradients are extremely weak and other balances apply. This is the recurring pattern in which a true reason establishes the falsity of the assertion, and it rewards reading both statements before choosing.

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