A lead shot of 1 mm diameter falls through a long column of glycerine. The variation of its velocity v with distance covered is represented by

Question

A lead shot of 1 mm diameter falls through a long column of glycerine. The variation of its velocity v with distance covered is represented by (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Initially due to the action of gravity, the lead shot will move with increasing velocity for some time. Then due to the viscosity of the glycerine column, the lead shot will attain a constant terminal velocity. As initially, there is some upthrust on the shot due to glycerine the increase of velocity will not be fully linear. So the variation is shown by plot (a).

Q. A lead shot of 1mm diameter falls through a long column of glycerine. The variation of its velocity v with distance covered is represented by

Q. A lead shot of $1 mm$ diameter falls through a long column of glycerine. The variation of its velocity $v$ with distance covered is represented by