Q. 3

The area of cross section of the wider tube shown in figure (13-E2) is 900 cm2. If the boy standing on the piston weighs 45 kg, find the difference in the levels of water in the two tubes.



Answer :

The pressure difference is created due to the weight of the boy on the piston.


Therefore, the pressure is given by,


Here, forces,


where, m is the mass of the boy and g is the acceleration due to gravity.


Area,


—————(1)


We know that pressure is also given by, , —————(2)


where is the density of the fluid and is the height difference.


For water,


Equating (1) and (2)



(ANS)


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