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4. A beaker is half filled with water. It is allowed to slip down an inclined plane with
angle of inclination θ to the horizontal. The level of water in the beaker will be :-?
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4. A beaker is half filled with water. It is allowed to slip down an i...
Effect of Inclined Plane on Water Level
When a beaker half filled with water is placed on an inclined plane, the behavior of the water is influenced by the forces acting on it due to gravity.
Forces Acting on Water
- The beaker is subjected to gravitational forces that act vertically downward.
- The inclined plane creates a normal force perpendicular to the surface, affecting the water's distribution.
Water Distribution on Incline
- As the beaker slips down the incline, the water inside also starts to adjust to the new angle.
- The surface of the water will always remain perpendicular to the direction of the gravitational force acting on it, which is vertically downward.
Resulting Water Level
- As a result, the level of the water in the beaker will not remain horizontal but will tilt.
- The water will rise higher on the side of the beaker that is lower due to the incline while dropping on the higher side.
Conclusion
- The overall height of the water will remain the same, but the shape of the water surface will change.
- Thus, the level of water in the beaker will be tilted, reflecting the angle of inclination θ of the inclined plane.
This phenomenon illustrates the principle of hydrostatics and the behavior of fluids under non-uniform conditions.
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4. A beaker is half filled with water. It is allowed to slip down an inclined plane with angle of inclination θ to the horizontal. The level of water in the beaker will be :-?
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