A 10 cm column of air is trapped by a column of mercury, 8 cm long, in a capillary tubehorizontally fixed as shown below, at 1 atm pressure. When the tube is held atcertain 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. When the tube's held at 45^@ with the horizontal with open end up the length of air column is

A 10 cm column of air is trapped by a column of mercury, 8 cm long, in

1.	A 10 cm column of air is trapped by a column of mercury, 8 cm long, in a capillary tubehorizontally fixed as shown below, at 1 atm pressure. When the tube is held atcertain 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. When the tube's held at 45^@ with the horizontal with open end up the length of air column is
Answer» `(76 xx 10)/(76 + 8/(sqrt2)) cm` `(76 xx 8/(sqrt2))/(76 + 10) cm` `76 xx 8/(sqrt2)` `10 xx 8/(sqrt2)` SOLUTION :At `45^@C`, pressure on GAS = `76 + h COS THETA` `= 76 + 8/(sqrt(2))` `P_1l_1 = P_2l_2 , 76 xx 10 = (76 + 8/(sqrt2))l_2`.