JEE Main 2024 Physics question

PhysicsMechanical Properties of FluidsJEE Main 2024

A big drop is formed by coalescing 1000 small identical drops of water. If E₁ be the total surface energy of 1000 small drops of water and E₂ be the surface energy of single big drop of water, then E₁ : E₂ is x : 1 where x = .

Answer: 10

Solution

Volume conservation gives R = 10r. E₁ = 1000 × 4πr²T and E₂ = 4π(10r)²T, so E₁/E₂ = 1000/100 = 10.

Question ID VK-016954