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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 mercury, 8 cm long, in a capillary tube  horizontally fixed as shown below, at 1 atm pressure. When the tube is held at  certain angle `theta^@` 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 . 

A

`(76 xx 84)/10 cm`

B

`(76 xx 10)/84 cm`

C

`(84 xx 10)/76 cm`

D

`(76 xx 10)/(84) cm`

Text Solution

Verified by Experts

The correct Answer is:
B
Boyle.s law , `P_1 V_1 = P_LV_L (or) P_1L_1 = P_2l_2`
`implies 76 xx 10 - (76_1 + 8) l_2 implies l_2 = (76 xx 10)/(84) cm`
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