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A 10 cm column of air is trapped by a co...

A 10 cm column of air is trapped by a column of Hg 4 cm long in a capillary tube of uniform bore when the tube is held horizontally in a room at 1 atm. Length of the air column when the tube is held vertically with the open end up is

A

9.50 cm

B

10.52 cm

C

3.53 cm

D

4.61 cm

Text Solution

Verified by Experts

The correct Answer is:
A
`V_(1) = 10 x cm^(3)`
(Here x is the area of cross-section of the tube)
`V_(2) = ?`
`P_(1) = 1 atm = 760 mm Hg`
`P_(2) = (760 + 4) mm Hg`
`P_(1)V_(2) = P_(2) V_(2)`
`V_(2) = (P_(1)V_(1))/(P_(2)) = (760 xx 10 x)/(764) = 9.5 x`
`:.` Length of air column
`= (9.5 x)/(x) = 9.5`
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