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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 horizantally 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 coloumn.when the tube is fixed vertically with opend end down at same temperature is

A

`(76 xx 68)/10 `

B

0 cm

C

`(76 xx 10)/(84) `

D

`(76 xx 10)/84 `

Text Solution

Verified by Experts

The correct Answer is:
C
`underset(("horrizontal"))(p_1l_1) = underset(("vertically down"))(p_2l_2)`
`76 xx 10 = (76 - 8) l_2 implies l_2 = (76 xx 10)/(68) cm`.
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