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NEETPhysicsMechanical Properties of Fluids

A tank is filled with a liquid and a small hole is made near the bottom of the tank. Consider the speed (v ) of efflux of liquid through the hole. Statements: 1. (v ) depends on the area of the hole. 2. (v ) depends on the density of the liquid. 3. (v ) depends on the height of the liquid column above the hole. 4. (v ) depends on the acceleration due to gravity. Which of the above statements is/are correct?

Options

  1. AOnly 3 and 4 are correct
  2. BOnly 1 and 2 are correct
  3. C1, 2 and 3 are correct
  4. DAll are correct

Correct answer

A. Only 3 and 4 are correct

Step-by-step solution

We use Torricelli's theorem for efflux speed: (v= 2 g h ) - Depends on height (h) of liquid column - Depends on acceleration due to gravity (g) - Does NOT depend on area of hole (area affects discharge, not velocity) - Does NOT depend on density (cancels out in Bernoulli's equation)

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