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  4. A metal block of base area 0.20 m 2 is placed on a table, as shown in figure. A liquid film of thickness 0.25 mm is inserted between the block and the table. The block is pushed by a horizontal force of 0.1 N and moves with a constant speed. If the viscosity of the liquid is 5.0 × 10-3 Pl, the speed of block is × 10-3 m / s

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Q. A metal block of base area $0.20 \,m ^2$ is placed on a table, as shown in figure. A liquid film of thickness $0.25 \,mm$ is inserted between the block and the table. The block is pushed by a horizontal force of $0.1 \,N$ and moves with a constant speed. If the viscosity of the liquid is $5.0 \times 10^{-3} Pl$, the speed of block is ____$\times 10^{-3} m / s$Physics Question Image

JEE MainJEE Main 2023Mechanical Properties of Fluids

Solution:

$| F |=\eta A \frac{\Delta v }{\Delta h }: 0.1$
$=5 \times 10^{-3} \times 0.2 \times \frac{ v }{.25 \times 10^{-3}} $
$ v =0.025\, m / s$
or $ v =25 \times 10^{-3} \,m / s$