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JEE Main20253 Apr 2025Morning ShiftPhysicsMechanical Properties of FluidsActual

Consider a completely full cylindrical water tank of height 1.6 m and cross-sectional area 0.5 ~m ^2 . It has a small hole in its side at a height 90 cm from the bottom. Assume, the cross-sectional area of the hole to be negligibly small as compared to that of the water tank. If a load 50 kg is applied at the top surface of the water in the tank then the velocity of the water coming out at the instant when the hole i

Options

  1. A3 ~m / s
  2. B5 ~m / s
  3. C2 ~m / s
  4. D4 ~m / s

Correct answer

D. 4 ~m / s

Step-by-step solution

Apply Bernouli equation between points 1 & 2 aligned & P₁+ 1 2 v₁^2+ g h=P₂+ 1 2 v₂^2+0 & P₀+ mg ~A + g 70 100 =P₀+ 1 2 v₂^2 & 5000 0.5 +10^3 10 70 100 = 1 2 10^3 v₂^2 aligned aligned & 10^3+10^3 7= 10^3 2 v ₂^2 & v ₂^2=16 & v ₂=4 ~m / s aligned As the tank area is large v ₁ is negligible compared to v ₂

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