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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 gas
The length of air column, when the tube is fixed vertically at the same temperature with open end up is?
877522_c177ac6f475f4ae8a04a35c5e6f6ccb1.JPG

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 76×1068cm
According to Boyle's law, at constant temperature,
PV= constant {P= Pressure ,V=Volume }P1V1=P2V2P1l1a=P2l2aP1l1=P2l2
l2=P1l1P2P1=76cmHg l1=10 cmP2=P18 cm of Hg=768=68 cmHg Now, l2=76×10 cm68 cm
Hence (D) option is correct

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