Let n droplets each of radius r coalesce to form a large drop of radius R. Assuming that the droplets are incompressible and S is the surface tension. Calculate the rise in temperature if c is the specific heat and ρ is the density.

Engineering

Physics

Surface Tension and Surface Energy

Question

$\frac{3 (n^{1 / 3} - 1)}{ρRC} S$

$\frac{3 (n^{2 / 3} - 1)}{ρRC} S$

$\frac{3}{ρRC} (1 - \frac{1}{n^{1 / 3}}) S$

$\frac{3 (n - 1)}{ρRC} S$

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

$ρ \times \frac{4}{3} {πR}^{3} \times C \times ΔT = S \times (4 {πr}^{2} n - 4 {πR}^{2})$

$\frac{4}{3} {πr}^{3} n = \frac{4}{3} {πR}^{3}$

R = n^1/3 r

$ΔT = \frac{[n^{1 / 3} - 1]}{ρRC}$