A thin tube of uniform cross-section is sealed at both ends. When it lies horizontally, the middle 5 cm contains mercury and the two equal ends contain air at the same pressure P. When the tube is held at an angle of 60∘ with the vertical, then the length of the air columns above and below the mercury column are 46 cm and 44.5 cm respectively. Calculate the pressure P in centimetres of mercury.(The temperature of the system is kept at 30 ∘C)

A thin tube of uniform cross-section is sealed at both ends. When it l

1.	A thin tube of uniform cross-section is sealed at both ends. When it lies horizontally, the middle 5 cm contains mercury and the two equal ends contain air at the same pressure P. When the tube is held at an angle of 60∘ with the vertical, then the length of the air columns above and below the mercury column are 46 cm and 44.5 cm respectively. Calculate the pressure P in centimetres of mercury.(The temperature of the system is kept at 30 ∘C)
Answer» A thin tube of uniform cross-section is sealed at both ends. When it lies horizontally, the middle $5 cm$ contains mercury and the two equal ends contain air at the same pressure $P$ . When the tube is held at an angle of $60^{\circ}$ with the vertical, then the length of the air columns above and below the mercury column are $46 cm$ and $44.5 cm$ respectively. Calculate the pressure $P$ in $centimetres$ of mercury. (The temperature of the system is kept at $30^{\circ} C)$