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JEE Main 202522 JanuaryEvening Shift
Exam
JEE Main
Year
2025
Date
22 January
Shift
Evening Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2025 · 22 January · Evening Shift · Physics · Mechanical Properties of Fluids

A small rigid spherical ball of mass M is dropped in a long...

A small rigid spherical ball of mass M is dropped in a long vertical tube containing glycerine. The velocity of the ball becomes constant after some time. If the density of glycerine is half of the density of the ball, then the viscous force acting on the ball will be (consider g as acceleration due to gravity)A small rigid spherical ball of mass M is dropped in a long vertical tube containing glycerine. The velocity of the

Options

  1. A2 Mg
  2. BMg
  3. C32Mg\frac{3}{2} \mathrm{Mg}
  4. DMg2\frac{\mathrm{Mg}}{2}

Correct answer

D. Mg2\frac{\mathrm{Mg}}{2}

Step-by-step solution

A small rigid spherical ball of mass M is dropped in a long vertical tube containing glycerine. The velocity of the
mg−FB−f=0⇒mg−mg2−f=0∴f=mg2\begin{aligned} & \mathrm{mg}-\mathrm{F}_{\mathrm{B}}-\mathrm{f}=0 \\ & \Rightarrow \mathrm{mg}-\frac{\mathrm{mg}}{2}-\mathrm{f}=0 \\ & \therefore \mathrm{f}=\frac{\mathrm{mg}}{2}\end{aligned}
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