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 x 10 . The value of x is __________

Question

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 x 10 ​ . The value of x is __________

TestHub · Accepted Answer

1000 3 4 ​ π r 3 10 r R ​ = 3 4 ​ π R 3 = R = 10 r ​ S.E. of Big drop S.E. of 1000 drops ​ ∴ x ​ = 4 π R 2 T 1000 ( 4 π r 2 ) T ​ = ( 10 r ) 2 1000 × r 2 ​ = 10 = x 10 ​ = 1 ​

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