Two identical open containers are partially filled—one with water and the other with glycerin. The water has density 1.00×103kgm−3; glycerin has density 1.26×103kgm−3. A small pressure probe is lowered 0.50m below the free surface in each container.
(a) Without performing detailed calculations, compare the gauge pressures measured in the two fluids and justify your reasoning.
(b) The water-filled probe is now lowered an additional distance until its gauge pressure matches that of the glycerin probe at 0.50m. Estimate the additional depth required and explain the steps in your reasoning.