A cubical block of density `rho` is floating on the surface of water. Out of its height L, fraction x is submerged in water. The vessel is in an elevator accelerating upward with acceleration a. What is the fraction immersed ?

Explanation

Weight of the block of iceberg = mg `= L^2pg`
Weight of water displaced by the iceberg =mg
`=Vp_(w)g=lL^(2) p_(w)g`
where l is the height of iceberg submerged in water
As iceberg is floating on water
Weight of iceberg =Weight of water displaced by iceberg
`i.e. L^(3)pg=lL^(2) p_(w)g`
`or l/L =p/p_(w) -x ("given")`
Thus, the fraction of the block of iceberg submerged is independent of any acceleration, whether acceleration