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Grade 12th passMechanics

kindly share the solution. it was asked by q school preparing its students for iit.

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Profile image of Ankush
8 Years agoGrade 12th pass
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1 Answer

Profile image of Eshan
ApprovedApproved Tutor Answer8 Years ago
Dear student,

The presure inside water at same level must be same. Hence pressure at all points along the dotted line must be same.

The pressure at the given line would beP_0+\rho g(20), since the pressure at inlet R isP_0(open to atmosphere). Since tube M is also open to atmosphere, to make pressure at dotted line level equal toP_0+\rho g(20), water must rise to 20cm height.

Pressure at the top of tube N is lesser than the atmospheric pressure due to it beingP_0below the level by 40cm.

Hence pressure at the top of N isP_0-\rho g (40)
Hence to make pressure at the bottom of N equal toP_0+\rho g (20),

P_0-\rho g (40)+\rho g(h_N)=P_0+\rho g(20)
\implies h_N=60cm