A glass capillary sealed at the upper end is of length 0.11 m and internal diameter 2 × 10 –5 m. This tube is immersed vertically into a liquid of surface tension 5.06 × 10 –2 N/m. When the length x × 10 –2 m of the tube is immersed in liquid then the liquid level inside and outside the capillary tube becomes the same, then the value of x is: (Assume atmospheric pressure is 1.01 × 10 5 
)
Text Solution
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(0001 cm)
Sol. If final pressure of gas in tube is P 2 then
P 2 – 
= P 0
(as levels inside and outside are same)
i.e. P 2 = P 0 + 
but as temperature remains constant
∴ P 1 V 1 = P 2 V 2
P 0 AL = 
A (L – h)
On solving, h = 0.01 m
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