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  4. A barometer tube reads 76 cm of mercury. If the tube is gradually inclined at an angle of 30° with vertical, keeping the open end immersed in the mercury reservoir, the length of the mercury column will be

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Q. A barometer tube reads $76 cm$ of mercury. If the tube is gradually inclined at an angle of $30^{\circ}$ with vertical, keeping the open end immersed in the mercury reservoir, the length of the mercury column will be

Mechanical Properties of Fluids

Solution:

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$\cos 30^{\circ}=\frac{ h }{\ell}$
$\ell=\frac{ h }{\cos 30^{\circ}}=\frac{76}{\frac{\sqrt{3}}{2}}=\frac{152}{\sqrt{3}}$
$\ell=87.75 cm$