Physics Question from JEE Main 2023 · 12 April, Shift 1

Glycerine of density $1.25 \times 10^3 \, \text{kg/m}^{-3}$ is flowing through the conical section of pipe. The area of cross-section of the pipe at its ends is $10 \, \text{cm}^2$ and $5 \, \text{cm}^2$ and pressure drop across its length is $3 \, \text{N m}^{-2}$. The rate of flow of glycerine through the pipe is $x \times 10^{-5} \, \text{m}^3 \, \text{s}^{-1}$. The value of $x$ is _____ .