Neco Model Questions Vol1 2024 Geography Question 35

The diagram shows a low‑pressure system centred at point L. Three concentric isobars are drawn around L with pressures of 1000 hPa, 1002 hPa and 1004 hPa at radii of 0 km, 50 km and 100 km respectively. Wind arrows are drawn tangent to the isobars indicating a counter‑clockwise circulation. Assuming the pressure change between the innermost and outermost isobars occurs uniformly over the radial distance, and that the air density is \(1.2\ \text{kg\,m}^{-3}\) and the Coriolis parameter \(f = 1.0\times10^{-4}\ \text{s}^{-1}\), (a) calculate the magnitude of the pressure gradient force (in Pa m\(^{-1}\)), and (b) compute the geostrophic wind speed (in m s\(^{-1}\)) using \(V = \frac{1}{\rho f}\frac{\Delta p}{\Delta d}\).