At a given place where acceleration due to gravity is g m/sec2 , a sphere of lead of density d kg/m3 is gently released in a column of liquid of density ρ kg/m3 . If d>ρ, then immediately after the sphere is released inside the liquid, it will

A	fall vertically with an acceleration of gm/sec2
B	fall vertically with no acceleration
C	fall vertically with an acceleration g(d−ρd)
D	fall vertically with an acceleration gρ/d

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

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