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Mechanical Properties Of Fluids

Question
CBSEENPH11018275

A weightless rubber balloon has 100 gm of liquid of density 2 gm/cc and is suspended by a string. What will be the tension in the string when balloon is fully immersed in water?

                      

Solution

Mass  of liquid  =  100 gm
Density of liquid = 2 gm/cc

    Volume of ballon containing liquid = 50cc  

When it is fully immeresed in water, it will displace 50cc of water.

Therefore upward thrust on ballon is given by, 

                   U = 50 x 1
                      = 50 gmf 

Tension in string is, 

                   T=100 - 50
                     = 50 gmf