JEE Main 2026 Physics question
A spherical liquid drop of radius R acquires the terminal velocity v₁ when falls through a gas of viscosity η. Now the drop is broken into 64 identical droplets and each droplet acquires terminal velocity v₂ falling through the same gas. The ratio of terminal velocities v₁/v₂ is .
Answer: (D)
Solution
Volume conservation gives droplet radius r=R/4. Terminal velocity ∝ r², so v₁/v₂=(R/r)²=16.