A vessel contains two immiscible liquids of density $\rho_{1}=1000 \, kg \, m^{-3}$ and $\rho_{2}=1500 \, kg \, m^{-3}$. A solid block of volume $V=10^{-3} \, m^{3}$ and density $d=800 \, kg \, m^{-3}$ is tied to one end of a string and other end is tied to the bottom of the vessel. The block is immersed with $2/5^{th}$ of its volume in the liquid of higher density and $3/5^{th}$ in the liquid of lower density. The entire system
is kept in an elevator which is moving upwards with an acceleration of $a=g/2$. The tension in the string is (Take $g=10\, m\, s^{-2}$).