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WAEC Physics 2010 Theory — Question 19

Question 19 of 22 from the West African Examinations Council (WAEC) Physics 2010 Theory paper, with the correct answer and a full explanation.

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12(d) Two vertical capillary tubes of the same diameter are lowered into beakers situated at the same level, containing liquids A and B of densities 9.2x10² kgm⁻³ and 1.30x10³ kgm⁻³ respectively. A suction pump is used to withdraw air from the top of the liquid columns in the tubes by means of a T-piece arrangement until the liquid in A rises to a height of 26.0 cm. Calculate the height of the liquid in tube B.

Model answer

Density of A, PA=9.2x10²kg/m³; density of B, PB=1.3x10³kg/m³; height of A, HA=26cm; height of B, hB=? Since pressure=ρhg, and pressure at same level is equal, then: ρAhAg=ρBhBg; hB=(PA x hA)/PB = (9.2x10² x 26)/(1.3x10³) = 18.4 cm.

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