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State stoke’s law and define terminal velocity? |
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Answer» Stoke’s law: When a body falls through a highly viscous liquid, it drags the layer of the liquid immediately in contact with it. This results in a relative motion between the different layers of the liquid. As a result of this, the falling body experiences a viscous force F. Stoke performed many experiments on the motion of small spherical bodies in different fluids and concluded that the viscous force F acting on the spherical body depends on 1. Coefficient of viscosity q of the liquid 2. Radius a of the sphere and 3. Velocity v of the spherical body Dimensionally it can be proved that ∴ F = k ηav Experimentally Stoke found that k = 6π This is Stoke’s law Terminal velocity: Terminal velocity of a body is defined as the constant velocity acquired by a body while falling through a viscous liquid. |
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