A \( 10 \mathrm{~cm} \) volume of air is trapped by a column of \( \mathrm{Hg}, 8 \mathrm{~cm} \...

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A \( 10 \mathrm{~cm} \) volume of air is trapped by a column of \( \mathrm{Hg}, 8 \mathrm{~cm} \) long in capillary tube horizontally fixed as shown below at \( 1 \mathrm{~atm} \) pressure. Calculate the length of air column when the tube is fixed at same temperature.
(a) Vertically with open end up
(b) Vertically with open end down
(c) At \( 45^{\circ} \mathrm{C} \) from with open end up
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