Question

A body weight 50 g in air and 4
3. 5 in water . what is relative density of the material of the body​

Answer 1

Given :

Weight of object in air = 50g

Weight of object in water = 43.5g

To Find :

Relative density of the material of the body.

Solution :

What is density : It is defined as the ratio of mass to the volume of substance.

Mathematically, ρ = M / V

• It is a scalar quantity having only magnitude.
• SI unit : kg/m³

❒ The relative density is defined as the ratio of the substance to the ratio of the reference substance.

• It is an unitless quantity.
• Dimension formula : [M⁰L⁰T⁰]

If object is immersed in water then,

$\bigstar\:\underline{\boxed{\bf{\red{Relative\:density=\dfrac{W_{air}}{W_{air}-W_{water}}}}}}$

By substituting the given values;

$\sf:\implies\: Relative\:density=\dfrac{50}{50-43.5}$

$\sf:\implies\: Relative\:density=\dfrac{50}{6.5}$

$\bf:\implies\:\underline{\boxed{\bf{\purple{Relative\:density=7.69\:g/cm^3}}}}$