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  4. A 2 m long tube closed at one end is lowered vertically into water until the closed end is flush with the water surface, Calculate h as shown in the following figure: <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/chemistry/40df10844e94cb5877e7e904a5759a50-.png /> (Barometric pressure =1 atm =10 m of hydrostatic water head, temperature =25° C, density of water =1 g / ml, neglect water vapour pressure)

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Q. A $2\,m$ long tube closed at one end is lowered vertically into water until the closed end is flush with the water surface, Calculate $h$ as shown in the following figure:
image
(Barometric pressure $=1 \,atm =10\, m$ of hydrostatic water head, temperature $=25^{\circ} C$, density of water $=1 \,g / ml$, neglect water vapour pressure)

States of Matter

Solution:

Let the cross section area be $a$ now as per Boyle's law
$P _{1} V_{1}=P_{2} V_{2} $
$(10+h) h \times a=10 \times 2 \times a $
$\Rightarrow 10 h+h^{2}=20$
$ \Rightarrow h=1.71\, m$