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An incompressible fluid flows over a flat plate with zero pressure gradient. The boundary layer thickness is $1$ mm at a location where the Reynolds number is $1000$. If the velocity of the fluid alone is increased by a factor of $4$, then the boundary layer thickness at the same location, in mm will be

  1. $4$
  2. $2$
  3. $0.5$
  4. $0.25$

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