When a plate floating on the surface of lake is pulled steadily with a force F, the steady state velocity is v. If depth of water as well as area of plate is doubled, the steady state velocity is

Engineering

Physics

Straight Line Motion

Newtons Second Law of Motion

Viscosity and Terminal Velocity New

Question

When a plate floating on the surface of lake is pulled steadily with a force F, the steady state velocity is v. If depth of water as well as area of plate is doubled, the steady state velocity is

$\frac{v}{2}$

$\frac{v}{4}$

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$F = ηA \frac{v}{y}$

$F = η 2 A \frac{v^{'}}{2 y} \Rightarrow v = v^{'}$