64 spherical rain drops of equal size are falling vertically through air with a terminal velocity 1.5 ~ms ⁻¹ . If these drops coalesce to form a big spherical drop, then terminal velocity of big drop is

Step-by-step solution

Volume of big drop =64 volume of a small drop 4 3 R^3=64 4 3 r^3 R=4 r The terminal velocity of spherical rain drop aligned & v= 2 r^2( - ) 9 v r^2 & v₁ v₂ = ( r R )^2= ( 1 4 )^2= 1 16 & v₂=16 v₁=16 1.5=24 ~ms ⁻¹ aligned