A barometer tube reads 75 ,cm of Hg. If the t | vedclass

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(B) The vertical height of the mercury column in a barometer is determined by the atmospheric pressure and remains constant regardless of the inclinat

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$150$

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(B) The vertical height of the mercury column in a barometer is determined by the atmospheric pressure and remains constant regardless of the inclination of the tube,provided the open end remains submerged in the mercury reservoir.Let $h = 75 \,cm$ be the vertical height of the mercury column.Let $x$ be the length of the mercury column along the tube when it is inclined at an angle $	heta = 30^{\circ}$ with the horizontal.The relationship between the vertical height $h$ and the length $x$ along the inclined tube is given by $h = x \sin(	heta)$.Here,$	heta = 30^{\circ}$,so $h = x \sin(30^{\circ})$.Substituting the values: $75 = x 	imes (1/2)$.Therefore,$x = 75 	imes 2 = 150 \,cm$.

$A$ barometer tube reads $75 \,cm$ of $Hg$. If the tube is gradually inclined at an angle of $30^{\circ}$ with the horizontal,keeping the open end in the mercury container,then find the length of the mercury column in the barometer tube in $cm$.

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