A student sucks on the end of a long tube which is initially filled with air and

Question

A student sucks on the end of a long tube which is initially filled with air and whose other end is in a large bucket of water which is open to the atmosphere. They manage to draw the water up a vertical distance of 4.21 m above the surface of the water in the bucket. What is the lowest pressure that the student's lungs can create?

[P(atmosphere)=105N/m2, ?(water)=1,000 kgm-3, g=9.81 m/s2]

so I think that I need to calculate the pressure difference from the top to bottom but the hint says this number is not the lowest pressure that the studet's lungs can create, could someone help me?

Explanation / Answer

u need to consider atmospheric pressure as well.

lowest pressure=10^5+1000*9.81*4.21=1413001 N/m2

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