The free surface of water in a large open tank is 12 m above the ground. A small hole can be made at any height in the vertical wall. Neglecting viscosity, the maximum possible horizontal range of the efflux jet is N m. Find N.
Physics · Fluid Mechanics · equation of continuity and bornullie theorem
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Question

The free surface of water in a large open tank is 12 m above the ground. A small hole can be made at any height in the vertical wall. Neglecting viscosity, the maximum possible horizontal range of the efflux jet is N m. Find N.

Physics · Fluid Mechanics · equation of continuity and bornullie theorem

G1 Physics · Accepted Answer

For a hole at height y above ground, R = 2√[y(H−y)], where H = 12 m. The expression is maximum when y = H/2 = 6 m. Therefore, R(max) = 2√(6×6) = 12 m. Hence, N = 12.