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JEE Main20253 Apr 2025Evening ShiftPhysicsMechanical Properties of FluidsActual

Two cylindrical vessels of equal cross sectional area of 2 ~m ^2 contain water up to height 10 m and 6 m , respectively. If the vessels are connected at their bottom then the work done by the force of gravity is : (Density of water is 10^3 ~kg / m ^3 and g =10 ~m / s ^2 )

Options

  1. A1 10^5 ~J
  2. B4 10^4 ~J
  3. C6 10^4 ~J
  4. D8 10^4 ~J

Correct answer

D. 8 10^4 ~J

Step-by-step solution

aligned & U ₁=( A 10) g 5+( A 6) g 3 & U _ i = Ag (50+18) & U _ i =68 Ag aligned aligned & U_f=( A 16) g 4 & =( A g) 64 aligned aligned & = U=4 A g & =4 1000 2 10=8 10^4 ~J aligned

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