JEE Main20246 Apr 2024Morning ShiftPhysicsMechanical Properties of FluidsActual
A small ball of mass m and density is dropped in a viscous liquid of density ₀ . After sometime, the ball falls with constant velocity. The viscous force on the ball is :
Options
- Am g (1- ₀ )
- Bm g (1+ ₀ )
- Cm g ( ₀ -1 )
- Dm g (1- ₀ )_
Correct answer
D. m g (1- ₀ )_
Step-by-step solution
mg - F _ B - F _ v = ma a =0 for constant velocity aligned & m g-F_B=F_v & F_v=m g-v ₀ g=m g- m ₀ g=m g (1- ₀ ) aligned