A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of big drop is 10 x . The value of x is __________

Step-by-step solution

aligned 1000 4 3 r^3 & = 4 3 R^3 10 r & =R R & =10 r aligned aligned S.E. of 1000 drops S.E. of Big drop & = 1000 (4 r ^2 ) T 4 R ^2 ~T & = 1000 r ^2 (10 r )^2 =10= 10 x x & =1 aligned