A solid block owf volume $$V=10-3m3$$ and density d $$-$$ $$800$$ $$kg/m3$$ is tied to one end of a string, the other end of which is tied to the bottom of the vessel. The vessel contains $$2$$ immiscible liquids of densities ρ$$1$$ $$=1000$$ $$kg/m3$$ and ρ$$2$$ $$=1500$$ $$kg/m3$$ . The solid block is immersed with $$2/5th$$ of its volume in the liquid of higher density and $$3/5th$$ in the liquid of lower density. The vessel is placed in an elevator which is moving up with an acceleration of a $$=$$ $$g/2$$. The tension in the string (in$$ $$N) is $$________$$. (g$$ $$=$$ $$10$$ $$m/s2)

Question

A solid block owf volume $$V=10-3m3$$ and density d $$-$$ $$800$$ $$kg/m3$$ is tied to one end of a string, the other end of which is tied to the bottom of the vessel. The vessel contains $$2$$ immiscible liquids of densities ρ$$1$$ $$=1000$$ $$kg/m3$$ and ρ$$2$$ $$=1500$$ $$kg/m3$$ . The solid block is immersed with $$2/5th$$ of its volume in the liquid of higher density and $$3/5th$$ in the liquid of lower density. The vessel is placed in an elevator which is moving up with an acceleration of a $$=$$ $$g/2$$. The tension in the string (in$$ $$N) is $$________$$. (g$$ $$=$$ $$10$$ $$m/s2)

Infinity Learn · Accepted Answer

Upthrust on the $$blockU=25V$$×$$1500g+g2+35V$$×$$1000$$×$$g+g2=1800$$×$$10$$−$$3$$×$$10=18N$$ Weight of the block $$=10$$−$$3$$×$$800$$×$$g+g2=12N$$ So, tension in the string $$=U$$−$$mg=18$$−$$12=6N$$

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