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JEE Mains · Physics · STD 11 - Fluid mechanics
  • JEE Mains 2022
  • Medium
  • MCQ

The velocity of a small ball of mass ' \(m\) ' and density \(d _{1}\), when dropped in a container filled with glycerine, becomes constant after some time. If the density of glycerine is \(d _{2}\), then the viscous force acting on the ball, will be

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Answer & Solution

Correct Answer

(B) \(m g\left(1-\frac{d_{2}}{d_{1}}\right)\)

Step-by-step Solution

Detailed explanation

\(F_{V}=m g-F_{B}\)

\(=m g-\left(\frac{m}{d_{1}} \times d_{2}\right) g\)

\(=m g\left(1-\frac{d_{2}}{d_{1}}\right)\)

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