Question:
A spherical ball is dropped in a long column of a viscous liquid. The speed $(v)$ of the ball as a function of time $(t)$ may be best represented by
A spherical ball is dropped in a long column of a viscous liquid. The speed $(v)$ of the ball as a function of time $(t)$ may be best represented by
Updated On: Jun 3, 2023
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The Correct Option is B
Solution and Explanation
Gravity first causes spherical ball to fall with increasing speed, but as it speeds up backward dragging force i.e. viscous force increases. Eventually the viscous force is enough to balance the force of gravity, so the acceleration stops and the sphere reaches a constant terminal velocity.
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Concepts Used:
Hooke’s Law
Hooke’s Law states that for small deformities, the stress and strain are proportional to each other. Thus,
Stress ∝ Strain
Stress = k × Strain … where k is the Modulus of Elasticity.
When a limited amount of Force or deformation is involved then concept of Hooke’s Law is only applicable . If we consider the fact, then we can deviate from Hooke's Law. This is because of their extreme Elastic limits.