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# A thin movable plate is separated from two fixed plates and by two highly viscous liquids of coefficients of viscosity and as shown, where Area of contact of movable plate with each fluid is same. If the distance between two fixed plates is ‘h’, then the distance ‘’ of movable plate from upper plate such that movable plate can be moved with a finite velocity by applying the minimum possible force on movable plate is ( assume only linear velocity distribution in each liquid).

## The correct answer is:

### Viscous force due to upper liquid

Viscous force due to lower liquid =

If total force is minimum

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