In a experiment verify stokes law, a small spherical ball of radius r and density \rho falls under gravity through distance h in air before entering a tank of water. If the terminal velocity of ball inside water is same as its velocity just before entering the water surface, then the value of h is proportional to :(ignore viscosity of air)
Option: 1 r^{4}
Option: 2 r^{3}
Option: 3 r
Option: 4 r^{2}

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