The space between two large horizontal metal plates, $$6$$ cm apart, is filled with a liquid of viscosity $$0.8$$ $$N/m2$$. A thin plate of surface area $$0.01$$ $$m2$$ is moved parallel to the length of the plate such that the plate is at a distance of $$2$$ m from one of the plates and $$4$$ cm from the other. If the plate moves with a constant speed of $$1$$ $$ms-1$$ then

Question

The space between two large horizontal metal plates, $$6$$ cm apart, is filled with a liquid of viscosity $$0.8$$ $$N/m2$$. A thin plate of surface area $$0.01$$ $$m2$$ is moved parallel to the length of the plate such that the plate is at a distance of $$2$$ m from one of the plates and $$4$$ cm from the other. If the plate moves with a constant speed of $$1$$ $$ms-1$$ then

Infinity Learn · Accepted Answer

The profile of the velocity of fluid is as shown in the figure.The velocity of the layer of fluid, which is in contact with metal plates (fixed), is zero. As we move towards the centre from either plate, the velocity of the layer of fluid increases and it becomes maximum at the location of moving plate. This maximum value is same as that of the velocity of plate.

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