A cuboid (a × a × 2a) is filled with two immiscible liquids of density 2ρ and ρ as shown in the figure. Neglecting atmospheric pressure, ratio of force on base and side wall of the cuboid is. Image
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Question

A cuboid (a × a × 2a) is filled with two immiscible liquids of density 2ρ and ρ as shown in the figure. Neglecting atmospheric pressure, ratio of force on base and side wall of the cuboid is. Image

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G1 Physics · Accepted Answer

Step 1: Base pressure comes from both layers: pbase = ρga + 2ρga = 3ρga, so Fbase = 3ρga³. Step 2: On the vertical side, integrate pressure over the upper and lower a-high strips; the resultant side force is (5/2)ρga³. Therefore Fbase/Fside = 6/5. Final answer: D.