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Physics · MECHANICAL PROPERTIES OF FLUIDS

हिन्दी

A horizontal metal plate of area \( 0.20\text{ m}^2 \) rests on a liquid film of thickness \( 0.50\text{ mm} \) spread over a fixed horizontal table. The plate is pulled horizontally with a constant force of \( 1.6\text{ N} \). If the plate moves at a steady speed of \( 0.20\text{ m/s} \), the coefficient of viscosity of the liquid is:

  1. A
    \( 0.04\text{ Pa}\cdot\text{s} \)
  2. B
    \( 0.40\text{ Pa}\cdot\text{s} \)
  3. C
    \( 0.20\text{ Pa}\cdot\text{s} \)
  4. D
    \( 0.02\text{ Pa}\cdot\text{s} \)
View Answer & Solution

Correct answer · Option D

\( 0.02\text{ Pa}\cdot\text{s} \)

Explanation

Using \( F = \eta A \frac{v}{l} \), we have \( \eta = \frac{F l}{A v} = \frac{1.6 \times (0.50 \times 10^{-3})}{0.20 \times 0.20} = \frac{0.80 \times 10^{-3}}{0.04} = 0.02\text{ Pa}\cdot\text{s} \).
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