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A tank with a small hole at the bottom has been filled with water and kerosene (specific gravity 0.8 ). The height of water is 3 ~m and that of kerosene 2 ~m . When the hole is opened the velocity of fluid coming out from it is nearly: (take g =10 ~ms ⁻² and density of water .=10^3 ~kg ~m ⁻³ )

Options

  1. A10.7 ~ms ⁻¹
  2. B9.6 ~ms ⁻¹
  3. C8.5 ~ms ⁻¹
  4. D7.6 ~ms ⁻¹

Correct answer

B. 9.6 ~ms ⁻¹

Step-by-step solution

aligned &h₁ ₁ g+h₂ ₂ g= 1 2 ₁ v ^2 & 1000 10 3+800 10 2 &= 1 2 1000 v ^2 & v ^2=2 46000 1000 & v = 92 =9.6 ~m / s aligned

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