A body weighs 200 gm in air 180 gm in a liquid and 175 gm in water. The density of the material of the body is

To calculate the density of a material, let's analyze the given data. 

A body weighs 200 gm in air, 180 gm in a liquid, and 175 gm in water. The objective is to determine the density of the material.

When a body weighs 200 gm in air, it displaces a certain amount of liquid or water when submerged. By comparing these weights, we can determine the relative density (R.D) of the material.

The formula for calculating the relative density is:

Relative Density (R.D) = (Weight in air - Weight in liquid) / (Weight in air - Weight in water)

Using the provided values:

Weight in air = 200 gm
Weight in a liquid = 180 gm
Weight in water = 175 gm

Substituting these values into the formula:

R.D = (200 - 180) / (200 - 175) = 20 / 25 = 0.8

Since relative density is the ratio of the material’s density to the density of water, the density of the material can be calculated as:

Density of material (ρ) = R.D × Density of water

The density of water is 1000 kg/m³. Thus:

ρ = 0.8 × 1000 = 800 kg/m³

Therefore, the density of the material is 800 kg/m³. 

This calculation is essential in understanding material properties when a body weighs 200 gm in air, 180 gm in a liquid, and 175 gm in water. For instance, if you’re wondering what weighs 200 grams or how a body weighs more in air than in other mediums, this method helps analyze those scenarios effectively.

A body that weighs 200 gm in air behaves differently when submerged due to the buoyancy effect. Such measurements are often performed in experiments to determine unknown materials' density, especially when identifying substances that weigh around 200 grams.