Question

# A 10 cm column of air is trapped by a column of mercury, 8 cm long, in a capillary tube horizontally fixed as shown below, at 1 atm pressure. When the tube is held at certain θo, with open end up, the weight of Hg is borne partially by the gas. Vertical Height of Hg is a measure of additional pressure on gasThe length of air column, when the tube is fixed vertically at the same temperature with open end up is?

A
76×8410cm
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B
76×1084cm
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C
84×1076cm
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D
76×1068cm
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Solution

## The correct option is D 76×1068cmAccording to Boyle's law, at constant temperature,PV= constant {P= Pressure ,V=Volume }∴P1V1=P2V2P1l1a=P2l2a⇒P1l1=P2l2l2=P1l1P2P1=76cmHg l1=10 cmP2=P1−8 cm of Hg=76−8=68 cmHg Now, l2=76×10 cm68 cmHence (D) option is correct

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