A metallic sphere of mass M falls through glycerine with a terminal velocity v. If we drop a ball of mass 8M of same metal into a column of glycerine, the terminal velocity of ball will be

A metallic sphere of mass M falls through glycerine with a terminal ve

1.	A metallic sphere of mass M falls through glycerine with a terminal velocity v. If we drop a ball of mass 8M of same metal into a column of glycerine, the terminal velocity of ball will be
Answer» 2V 4v 8v 16v Solution :`M=(4)/(3)pir^(3)RHO and 8M =(4)/(3)piR^(3)rho`, `therefore R^(3)=8r^(3)` or `R=2R` As `v prop r^(2)` `therefore (v')/(v)=((R)/(r))^(2)=((2r)/(r))^(2)=4` or `v'=4v`