If an object of volume V and density `d_1` is immersed in a liquid of density `d_2` and volume of the liquid displaced is v, then the relation between them is given by the expression__= ___.

Explanation

To solve the problem, we need to establish the relationship between the densities and volumes of the object and the liquid it is immersed in. Here’s a step-by-step solution:

### Step 1: Understand the Concept of Buoyancy
When an object is immersed in a fluid, it displaces a volume of fluid equal to the volume of the object that is submerged. The buoyant force acting on the object is equal to the weight of the fluid displaced.

### Step 2: Write the Expression for Buoyant Force
The buoyant force (\( F_b \)) can be expressed as:
\[ F_b = \text{Weight of the displaced liquid} = \text{Density of liquid} \times \text{Volume of liquid displaced} \times g \]
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