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JEE Main 202329 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
29 January
Shift
Evening Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2023 · 29 January · Evening Shift · Physics · Mechanical Properties of Fluids

A metal block of base area 0 . 20 m ^ 2 is placed on a table, as...

A metal block of base area 0.20m20 . 20{m}^{2} is placed on a table, as shown in figure. A liquid film of thickness 0.25mm0 . 25mm is inserted between the block and the table. The block is pushed by a horizontal force of 0.1N0 . 1N and moves with a constant speed. If the viscosity of the liquid is 5.0×10–3Pl5 . 0 \times {10}^{– 3}Pl, the speed of block is ______ ×10−3ms−1\times {10}^{- 3}m{s}^{- 1}.

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 . 25mm

Correct answer

0

Step-by-step solution

Viscous force is given by,

∣F∣=ηA\Deltav\Deltah| F | = ηA\dfrac{\Deltav}{\Deltah}

⇒0.1=5×10−3×0.2×v0.25×10−3⇒ 0 . 1 = 5 \times {10}^{- 3} \times 0 . 2 \times \dfrac{v}{0 . 25 \times {10}^{- 3}}

⇒v=0.025ms−1⇒ v = 0 . 025m{s}^{- 1}

⇒v=25×10−3ms−1⇒ v = 25 \times {10}^{- 3}m{s}^{- 1}

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