AP EAMCET202021 Sep 2020Evening ShiftPhysicsMechanical Properties of FluidsActual
The terminal velocity (v ) of a spherical ball of lead of radius (R ) falling through a viscous liquid varies with (R ) such that
Options
- A( v R = ) constant
- B(v R= ) constant
- C(v= ) constant
- D( v R^2 = ) constant
Correct answer
D. ( v R^2 = ) constant
Step-by-step solution
Terminal velocity of spherical ball falling through viscous liquid is given as (v= 2 9 R^2( - ) g ) ...(i) where, (R= ) radius of ball, ( = ) density of ball, ( = ) density of liquid and ( = ) coefficient of viscosity. From Eq. (i), ( v R^2 = 2( - ) g 9 = constant )