Two identical open containers are filled to the same depth with water

PHYSICS · Single correct · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

Two identical open containers are filled to the same depth with water. Container X has a pinhole of radius 1 mm1\,\text{mm} near the base, while Container Y has a pinhole of radius 3 mm3\,\text{mm} at the same vertical location. Neglecting viscosity, which statement best describes the initial exit speeds of the water jets? (a) The speed is greater for Container Y because a larger opening allows more water to flow. (b) The speeds are equal because they depend only on the depth below the surface. (c) The speed is greater for Container X because forcing water through a smaller opening increases its velocity. (d) The speeds cannot be predicted without knowing the cross-sectional area of each container.

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