A barometer tube reads 76 cm of mercury, It the tube is gradually inclined at an angle of 60° with vertical, keeping the open end immersed in the mercury reservoir, what is the length of the mercury column?

1 Answer
Apr 12, 2018

Given rhat a barometer tube reads 76 cm of mercury, when the tube is gradually inclined at an angle of 60° with vertical, keeping the open end immersed in the mercury reservoir, the angle of incineration with the horizontal will be #30^@# and vertical will remain same as #76cm# as vertical height of mercury column represents the atmospheric pressure. If the length of mercury column be #L# cm in inclined condition then

#76/L=sin30^@=1/2#

Hence #L=152cm#. It is possible if the barometer tube is long enough to accommodate this elongation of the length of mercury column. .

But in actual practice the length of barometer tube is restricted to 100cm. So at the given inclination of tube this elongation will also be restricted to 100cm.