The figure shows a cylindrical container fitted with a piston. It contains two immiscible incompressible liquids with densities $ρ_{1}$ and $ρ_{2}$ . A block floats is equilibrium in the position shown. Choose the CORRECT statement(s). (Spring is connected to bottom of cylinder as well as block.)

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TestHub · Accepted Answer

(A) Correct: moving the piston up or down changes no net force on the block, so spring compression is unchanged.

(B) Wrong: if the spring is compressed and the system accelerates up, the final compression depends on $ρ_{1}, ρ_{2}$ and the block's density; it need not attain natural length.

(C) Correct, (D) wrong: if the spring is initially relaxed, accelerating the system changes no net force, so the spring stays relaxed regardless of densities.

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