A non-conductiong body floats in a liquid at `25^(@)C` with `1//3` of its volume immersed in the liquid. When liquid temperature is increased to `105^(@)C,` `1//2` of body's volume is immersed is the liquid. Then, find the coefficient of real expansion of the liqquid (neglecting the expansion of container of the liquid) .

Explanation

To solve the problem, we need to find the coefficient of real expansion of the liquid using the information given about the floating body at two different temperatures.

### Step-by-Step Solution:

1. **Understanding the Problem:**
- At \( T_1 = 25^\circ C \), \( \frac{1}{3} \) of the volume of the body is immersed in the liquid.
- At \( T_2 = 105^\circ C \), \( \frac{1}{2} \) of the volume of the body is immersed in the liquid.
- We need to find the coefficient of real expansion of the liquid, denoted as \( \alpha_r \).
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