Step 1: Recall geostrophic balance.
- Geostrophic flow occurs when pressure gradient force (PGF) is balanced by the Coriolis force.
- The geostrophic wind speed depends on the pressure gradient and latitude, but across an isobar (same pressure gradient), the speed remains constant.
Step 2: Recall cyclostrophic balance.
- Cyclostrophic flow occurs when PGF is balanced by centrifugal force (important in small-scale circulations like tornadoes).
- In this case, the speed varies with radius and curvature → hence it changes when moving across the isobar.
Step 3: Eliminate incorrect options.
- (A) Incorrect → geostrophic flow speed does not change across an isobar.
- (C) Incorrect → cyclostrophic flow speed changes.
- (D) Incorrect → not both, only cyclostrophic flow speed changes.
Final Answer:
\[
\boxed{\text{(B) The speed remains constant for a geostrophic flow and changes for a cyclostrophic flow}}
\]