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NEET 2023
Exam
NEET
Year
2023
Subject
Physics
Chapter
Mechanical Properties of Fluids

NEET 2023 · Physics · Mechanical Properties of Fluids

The viscous drag acting on a metal sphere of diameter 1 ~mm ,...

The viscous drag acting on a metal sphere of diameter 1 mm1 \mathrm{~mm}, falling through a fluid of viscosity 0.8 Pas0.8 \mathrm{~Pa} s with a velocity of 2 m s−12 \mathrm{~m} \mathrm{~s}^{-1} is equal to

Options

  1. A1.5×10−3 N1.5 \times 10^{-3} \mathrm{~N}
  2. B20×10−3 N20 \times 10^{-3} \mathrm{~N}
  3. C15×10−3 N15 \times 10^{-3} \mathrm{~N}
  4. D30×10−3 N30 \times 10^{-3} \mathrm{~N}

Correct answer

C. 15×10−3 N15 \times 10^{-3} \mathrm{~N}

Step-by-step solution

Viscous drag acting on sphere is given by FV=6πηrV=6×227×0.8×10−32×2=15.08×10−3 N≃15×10−3 N\begin{aligned} F_V & =6 \pi \eta r V \\ & =6 \times \frac{22}{7} \times 0.8 \times \frac{10^{-3}}{2} \times 2 \\ & =15.08 \times 10^{-3} \mathrm{~N} \\ & \simeq 15 \times 10^{-3} \mathrm{~N}\end{aligned}
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