A vessel filled with a liquid of density ρ falls vertically downwards with an acceleration a(

Question

A vessel filled with a liquid of density ρ falls vertically downwards with an acceleration a(<g). The gauge pressure P at depth h below the free surface of liquid is :

G1 Physics · Accepted Answer

Step 1: In the vessel frame, the downward effective gravitational acceleration is g′ = g−a because the vessel itself accelerates downward. Step 2: Gauge pressure at depth h is P = ρg′h = ρh(g−a). Correct answer: C.