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A cubical block of co-efficient of linea...

A cubical block of co-efficient of linear expansion `alpha_s` is submerged partially inside a liquid of co-efficient of volume expansion `gamma_l`. On increasing the temperature of the system by `DeltaT`, the height of the cube inside the liquid remains unchanged. Find the relation between `alpha_s and gamma_l`.

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To find the relation between the coefficient of linear expansion of the solid cube (\(\alpha_s\)) and the coefficient of volumetric expansion of the liquid (\(\gamma_l\)), we can follow these steps: ### Step 1: Understand the Problem We have a cubical block partially submerged in a liquid. When the temperature of the system is increased by \(\Delta T\), the height of the cube submerged in the liquid remains unchanged. This indicates that the buoyant force acting on the cube must remain constant. ### Step 2: Initial Volume of the Cube Let the side length of the cube be \(a\). The initial volume \(V\) of the cube is given by: \[ ...
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