Physics Question from JEE Main 2025 · 2 April, Shift 1

A vessel with square cross-section and height of $6 \, \text{m}$ is vertically partitioned. A small window of $100 \, \text{cm}^2$ with hinged door is fitted at a depth of $3 \, \text{m}$ 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 $1.5 \times 10^3 \, \text{kg/m}^3$. The force one needs to apply on the hinged door so that it does not get opened is _____ $\text{N}$.

(Acceleration due to gravity $= 10 \, \text{m/s}^2$)