Q. A thin tube of uniform cross section is sealed at both ends. It lies horizontally. The middle $5cm$ containing $Hg$ and the two equal parts containing air at the pressure $P_{0}$ . When the tube is held at an angle $60^\circ $ with the vertical, the length of air column above and below the mercury are $46$ and $44.5cm$ respectively. Calculate the pressure $P_{0}$ in $cm$ of $Hg$ (the temperature of the system is kept at $3 0^{^\circ } \text{C}$ ). Report answer after rounding off to the nearest integer value.
NTA AbhyasNTA Abhyas 2022
Solution: