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Concepts Of Physics MCQ Edition [Volume 1]PhysicsFluid Mechanics

An open tank filled with a liquid has a small hole near its bottom. The speed of the ejected liquid does not depend on the

Options

  1. Adensity of the liquid
  2. Bheight of the liquid from the hole
  3. Carea of the hole
  4. Dacceleration due to gravity

Correct answer

C. area of the hole

Step-by-step solution

According to Torricelli's law, the velocity of efflux v of a liquid from a small hole at a depth h below the free surface of the liquid in an open tank is given by v = 2gh . From this expression, it is clear that the speed of the ejected liquid depends on the height of the liquid from the hole ( h ) and the acceleration due to gravity ( g ). The expression does not contain any term for the density of the liquid or the area of the hole (since the hole is considered small, the velocity of the free surface is negligib

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