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A metal plate of area $10^{- 3} m^{2}$ is placed on a liquid layer of thickness 0.8mm. The coefficient of viscosity of that liquid is 24 poise. Then the horizontal force required to move the plate with a velocity of $1 c m s^{- 1}$

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0.03 N

0.01 N

0.04 N

0.02 N

answer is C.

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Detailed Solution

$\begin{array}{l} η = \frac{F}{A \cdot \frac{d v}{d x}} \\ F = η A \frac{d v}{d x} = 24 \times 10^{- 1} \times 10^{- 3} \times \frac{1 \frac{c m}{s}}{0.8 \times 10^{- 1} c m} = 3 \times 10^{- 2} N \end{array}$

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