## Question

An open end wide tube is immersed vertically in mercury in such a way that a length 0.05 m extends above the mercury level. The open end of the tube is then closed and the tube is raised further by 0.43 m. Calculate the length of the air column above the mercury level in the tube.

### Solution

0.1 m

Considering the air in the tube with cross-section *A* when the tube is open :

Now when the tube is closed and 0.43 m of it is withdrawn out of mercury, if *h* is the length of air column above mercury and *p*_{2} is the pressure of air in it, then as at same level pressure is same,

Now assuming that temperature is constant,

= 0.1 m.

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