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JEE Main20252 Apr 2025Morning ShiftPhysicsMechanical Properties of FluidsActual

A vessel with square cross-section and height of 6 m is vertically partitioned. A small window of 100 ~cm ^2 with hinged door is fitted at a depth of 3 m in the partition wall. One part of the vessel is filled completely with water and the other side is filled with the liquid having density 1.5 10^3 ~kg / m ^3 . What force one needs to apply on the hinged door so that it does not get opened ? (Acceleration due to gra

Correct answer

150

Step-by-step solution

in equilibrium aligned & F _ ext + F _ w = F _ & F _ ext = F _ - F _ w & = ( P ₀+ _ gh ) A - ( P ₀+ _ w gh ) A & = ( _ - _ w ) ghA & =(1500-1000) 10 3 (100 10⁻⁴ ) & =150 ~m aligned

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