Question

# A 10 cm long gas column is trapped by a 4 cm long column of mercury in a capillary tube, as shown below, when the tube is held horizontally in a room at an external pressure of 1 atm. The length of the air column when the tube is held vertically with the open end up is

A

3.5 cm

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B

6.2 cm

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C

9.5 cm

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D

4.8 cm

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Solution

## The correct option is D 9.5 cm Since temperature is constant; when the tube is horizontal: P1 = 760 mm V1 = 10A (A=area of cross section) When the tube is vertical : P2 = 760 +4 = 764 mm V2 = ? P1V1=P2V2 760×10A=764×V2 V2 = 9.5A ∴ length of air column = 9.5 cm (as area of cross section is the same).

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