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Air is trapped in a horizontal glass tube by 40 cm mercury column as shown below:

if the tube is held vertical keeping the open end up ,length of air column shrink to 19 cm. Length in cm by which the mercury column shifts down is a x cm. Value of $\frac{x}{2}$ is

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answer is 5.

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Detailed Solution

$10 c m; p_{1} l_{1} = p_{2} l_{2} \Rightarrow 76 \times (19 + x) = 116 \times 19 \Rightarrow x = 10 c m$

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