Two spherical raindrops of equal size are falling vertically through air with a velocity of `1 m//s`. What would be the terminal speed if these two drops were to coalesce to form a large spherical drop?
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As, `v_(T) prop r^(2)` Let r be the radius of small raindrops and R the radius of large drop. Equating the volumes, we have `(4)/(3) piR^(3)=2((4)/(3) pi r^(3))` `therefore " " R=(2)^(1//3). R " or " (R )/(r )=(2)^(1//3)` `therefore " " (v'_(T))/(v_(T))=(( R)/(r ))^(2)=(2)^(2//3)` `therefore " " v'_(T)=(2)^(2//3)v_(T)=(2)^(2//3) (1.0) ms^(-1)=1.587 ms^(-1)`
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