99 Percentile Qs Bank for JEE MainPhysicsMechanical Properties of Fluids
A spherical solid ball of volume V is made up of material of density . It is falling through a liquid of density ( 0) , then the terminal speed of the ball is ( g= acceleration due to gravity)
Options
- A[ V g K ]^ 1 2
- B[ V g( - ) K ]^ 1 2
- CV g( - ) K
- DV g K
Correct answer
B. [ V g( - ) K ]^ 1 2
Step-by-step solution
The condition for terminal speed v_ T is given by, weight (W)= buoyant force (f)+ viscous force (F) We know, W= V g, f= V g and F=K v_ T ^2 V g= V g+K v_ T ^2v_ T = ( - ) V g K