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Q.

A beaker containing water is kept on a spring scale. The mass of water and beaker is 5 Kg. A block of mass 2 Kg and specific gravity 10 is suspended by means of thread from a spring balance as shown. The readings of scales S1  and S2  are respectively. Then the value of  S1+S2  is_________ N [Take g=10  m/s2 ]

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answer is 70.

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Detailed Solution

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Buoyancy force,
Fb=Vρg=210×103×103×10=2N 
FBD of block is an shown
 

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   T+Fb=20T=18N 
The reading of S1  is equal to tension in string, 
The effect of putting the mass inside the water is equivalent of adding an amount of water equal to volume of block.
So total force on  S1 is 5g+2=52N 

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