The Work Done To Break Up A Drop Of A Liquid Of Radius R and Surface Tension  into Eight Drops, All Of The Same Size, Is 

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Question

The work done to break up a drop of a liquid of radius R and surface tension  into eight drops, all of the same size, is 

Solution

Correct option is

 

Volume of big drop . If r is the radius of each tiny drop, the total volume of eight drops

          

Since the total volume remains unchanged, we have  

         

Which gives, . Now, surface area of big drop = 

Total surface area of eight drops = 

 Increase in surface area 

 Work done = surface tension  increase in surface area 

                      

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