A rectangular soap bar of density 800 kg m⁻³ floats in water of density 1000 kg m⁻³. Oil of density 300 kg m⁻³ is added until its free surface reaches the top of the soap. If oil thickness is x and soap thickness is L, find x/L. Image
Options

Question

A rectangular soap bar of density 800 kg m⁻³ floats in water of density 1000 kg m⁻³. Oil of density 300 kg m⁻³ is added until its free surface reaches the top of the soap. If oil thickness is x and soap thickness is L, find x/L. Image

Options

G1 Physics · Accepted Answer

Step 1: Apply Archimedes' principle, Fᵦ = ρfluid g Vdisplaced, together with force/torque equilibrium. Step 2: Use the immersed volume from the given geometry and solve the balance condition. Applying these relations to the given data gives B: 2/7. Final answer: B.