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In given figure, an ideal gas is trapped...

In given figure, an ideal gas is trapped between a mercury column and the closed end of a uniform vertical tube. The upper end of the tube is open to the atmosphere. Initially the lengths of the mercury column and the trapped air column are `12 cm` and `50cm` respectively. when the tube is tilted slowly in a vertical plane through an angle of `30^(@)` with horizontal then the new length of air column is `(x)/(41)m`. Find `x`. Assuming the temperature to remains constant. `(P_(atm) = 76 cm of Hg)`

A

`48 cm`

B

`38 cm`

C

`24 cm`

D

`12 cm`

Text Solution

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The correct Answer is:
A
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