A smooth two dimensional flat plate is exposed to a wind velocity of $100$ km per hour. If laminar boundary exists up to a value of Rex equal to $3{10}^5,$ find maximum thickness of the laminar boundary layer. Select the correct answer, if the kinematic viscosity of air is $1\mathrm{.}49{10}^{-5}m\frac{2}{s}.$

$147$ mm

$14\mathrm{.}7$ mm

$0\mathrm{.}147$ mm

$1\mathrm{.}47$ mm