Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Determine the surface-configuration of a liquid contained in a vessel which slips with-out friction down an inclined plane. Fig.

Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Identify the forces acting on the liquid.
When a container holding a liquid is on an inclined plane, there are two main forces acting on the liquid: gravitational force and the normal force from the wall of the container.
Step 2: Analyze the effect of slope.
As the vessel slips down the incline, the liquid inside will adjust its surface to maintain equilibrium. The free surface of the liquid will have a slope that is equal to the angle of inclination of the incline due to gravity acting perpendicular to the surface of the liquid.
Step 3: Determine the configuration of the surface.
The liquid will take a shape where the surface lies perpendicular to the net direction of the gravitational force acting on it, which is a straight line parallel to the incline. Thus, the surface of the liquid tilts at the same angle as the incline.
Conclusion: Therefore, the surface-configuration of the liquid in a vessel that is slipping down an inclined plane is such that it is parallel to the incline of the plane.
When a container holding a liquid is on an inclined plane, there are two main forces acting on the liquid: gravitational force and the normal force from the wall of the container.
Step 2: Analyze the effect of slope.
As the vessel slips down the incline, the liquid inside will adjust its surface to maintain equilibrium. The free surface of the liquid will have a slope that is equal to the angle of inclination of the incline due to gravity acting perpendicular to the surface of the liquid.
Step 3: Determine the configuration of the surface.
The liquid will take a shape where the surface lies perpendicular to the net direction of the gravitational force acting on it, which is a straight line parallel to the incline. Thus, the surface of the liquid tilts at the same angle as the incline.
Conclusion: Therefore, the surface-configuration of the liquid in a vessel that is slipping down an inclined plane is such that it is parallel to the incline of the plane.
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