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AP EAMCET · PHYSICS · Mechanical Properties of Fluids

A cylindrical metal box whose flat surface has an area of \(0.01 \mathrm{~m}^2\) rests on liquid of \(0.3 \mathrm{~mm}\) thickness. If upon applying a horizontal force of magnitude \(\frac{1}{3} \mathrm{~N}\), the box slides with a constant speed of \(0.09 \mathrm{~ms}^{-1}\), the coefficient of viscosity of the liquid is nearly

  1. A \(2.5 \times 10^{-2} \mathrm{Pa.s}\)
  2. B \(1.1 \times 10^{-1} \mathrm{Pa.s}\)
  3. C \(1.1 \times 10^{-2} \mathrm{Pa.s}\)
  4. D \(2.5 \times 10^{-1} \mathrm{~Pa} . \mathrm{s}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1.1 \times 10^{-1} \mathrm{Pa.s}\)

Step-by-step Solution

Detailed explanation

We know that \[ \mathrm{F}_{\mathrm{drag}}=\eta \mathrm{A} \frac{\mathrm{dv}}{\mathrm{dx}} \] For metal box to be moving with constant velocity…