Question bank/JEE Main/Physics

JEE MainPhysicsModerateMechanical Properties of Fluids

A container filled with viscous liquid is moving vertically
downwards with constant speed

[IMAGE]. At the instant shown, a sphere of radius

r is moving vertically downwards (in liquid) has speed

[IMAGE]. The coefficient of viscosity is η. There is no relative motion between

the liquid and the container. Then at the shown instant, the magnitude

of viscous force acting on sphere is[IMAGE]. Find x.,d ik=k tks fd,d pky 3v_0ls

f= xksyk uhps dh rjQ (nzo esa) tk jgk gS mlds xksys dh

ugh gSA rks bl.k ij xksys ij cy





Show answer and solution
Relative to liquid, the velocity of sphere is
[IMAGE] viscous force on sphere

=12πηrv0= 12\pi\eta\text{r}\text{v}_{0}downward
nzo xksys dk osx dh rjQ gSA

∴\thereforexksys ij nzo = 6 πη r2v_0uhps


Source: Grass-G / Ph-27 Physics paper 2 15 Jan.docx

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