A spherical drop of liquid splits into 1000 identical spherical drops. If ' E ₁ ' is the surface energy of the original drop and ' E ₂ ' is the total surface energy of the resulting drops, then E₁ E₂ = x 10 . Then value of ' x ' is

Step-by-step solution

array ll & r= Radius of small drop & R= Radius of bigger drop & 4 3 R^3= 4 3 (1000) r^3 & R=10 r & E₁=T₁^2=T (4 R^2 ) & E₂=n A₂^2=1000 T (4 r^2 ) & E₁ E₂ = R^2 1000 r^2 = (10 r)^2 1000 r^2 & E₁ E₂ = 1 10 & x=1 array