A sinker of weight `w_0` has an apparent weight `w_1` when weighed in a liquid at a temperature `t_1 and w_2` when weight in the same liquid at temperature `t_2`. The coefficient of cubical expansion of the material of sinker is `beta`. What is the coefficient of volume expansion of the liquid.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the Apparent Weight
The apparent weight of the sinker in the liquid is given by:
\[ W_1 = W_0 - F_{b1} \]
\[ W_2 = W_0 - F_{b2} \]
where \( F_{b1} \) and \( F_{b2} \) are the buoyant forces at temperatures \( T_1 \) and \( T_2 \) respectively.

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