A Spherical Small Ball Of Density  is Gently Released In A Liquid Of Density . The Initial Acceleration Of The Free Fall Of The Ball Will Be

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Question

A spherical small ball of density  is gently released in a liquid of density . The initial acceleration of the free fall of the ball will be

Solution

Correct option is

 

Let m be the mass of the ball and V its volume. Its mass . The weight of the ball is

         

The volume of the liquid displaced = V. If  is the density of the liquid, the weight of the liquid displaced is the upthrust U it experiences. 

          

 The net downward force acting on the body is

          

The initial acceleration is 

         

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