Question

The Ekman layer thickness, if turbulent diffusivity is 0.01 m\(^2\) s\(^{-1}\), is \(\underline{\hspace{2cm}}\) m. Take Coriolis parameter to be \( 10^{-4} \) s\(^{-1}\). Calculate to the nearest integer.

Hint:

The Ekman layer thickness is an important concept in oceanography and atmospheric sciences, related to the vertical depth over which wind-driven currents are present.

Answer 1

Correct Answer: 9

The Ekman layer thickness \( \delta \) is given by the formula: \[ \delta = \sqrt{\frac{2 \nu}{f}}, \] where:
- \( \nu \) is the turbulent diffusivity,
- \( f \) is the Coriolis parameter.
Substitute the given values: \[ \delta = \sqrt{\frac{2 \times 10^{-2}}{10^{-4}}} = \sqrt{200} \approx 14.1 \, \text{m}. \] Thus, the Ekman layer thickness is \( 14 \, \text{m} \).