Find the difference in levels of mercury in the two limbs of a U-tu...

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Find the difference in levels of mercury in the two limbs of a U-tube, if the diameter of the bore of one limb is \( 1 \mathrm{~mm} \) and of the other is \( 4 \mathrm{~mm} \). The surface tension of mercury is 544 dyne \( \mathrm{cm}^{-1} \), its density is \( 13.6 \mathrm{~g} \mathrm{~cm}^{-3} \) and the angle of contact is \( 130^{\circ} \).
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