Most Important Selected Qs for JEE AdvancedPhysicsMechanical Properties of Fluids
A small ball of mass m is released from rest from a height h above the liquid surface. The density of ball is 3 : (assume no splash)
Options
- AIf h H , then the ball will be able to enter the liquid of higher density
- BIf h 7 H 2 , then the ball will be able to strike the bottom of the vessel
- CIf h =2 H , then the ball will cross the interface of two liquids with kinetic energy = mgH
- DIf h =0 then ball will float on the surface
Correct answer
D. If h =0 then ball will float on the surface
Step-by-step solution
aligned & m g (h+ H 2 )=[v g] H 2 & h=H & m g (h+ H 2 + H 2 )=[v g] H 2 +[v 2 g] H 2 & h= 7 H 2 & m g (h+ H 2 )-[v p g] H 2 = K.E. & m g ( 5 H 2 )- 3 2 m g H= K.E. & K.E. =m g H . . aligned