Answer:
For water column in one arm of U tube,
\[{{\rho }_{0}}=1\cdot
25kg{{m}^{-3}}\]
For spirit column in other arm of
U tube,
\[{{y}_{0}}\]
As
the mercury columns in the two arms of U tube are in level, therefore pressure
exerted by each is equal.
Hence,\[{{m}^{3}}\]
\[\left[ \text{Take
}{{\text{y}}_{\text{0}}}\text{= 8000 m and }{{\text{ }\!\!\rho\!\!\text{
}}_{\text{He}}}=0\cdot 18kg/{{m}^{3}} \right]\]
Therefore, relative density of
spirit
\[\text{-}\frac{\text{d }\!\!\rho\!\!\text{
}}{\text{dy}}\text{ }\!\!\alpha\!\!\text{ }\!\!\rho\!\!\text{ or
}\frac{\text{d }\!\!\rho\!\!\text{ }}{\text{dy}}\text{ = - K
}\!\!\rho\!\!\text{ }\]
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