A solid floats in a liquid at `20^@`C with 75 % of it immersed. When the liquid is heeated to `100^@`C, the same solid floats with `80%` of it immersed in the liquid. Calculate the coefficient of expansion of the liquid. Assume the volume of the solid to be constant.

Explanation

To solve the problem, we need to analyze the situation using Archimedes' principle and the concept of buoyancy. Here's a step-by-step breakdown of the solution:

### Step 1: Understand the Problem
We have a solid that floats in a liquid at two different temperatures. At 20°C, 75% of the solid is submerged, and at 100°C, 80% of the solid is submerged. We need to find the coefficient of volume expansion (γ) of the liquid.

### Step 2: Set Up the Equations
According to Archimedes' principle, the buoyant force (Fb) acting on the solid is equal to the weight of the liquid displaced by the submerged part of the solid.

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