Question

An object of mass ‘m’ and volume ‘V’ has density ‘ρ ’. What will be the effect on density if both the mass and volume of the object are reduced to half?

Answer 1

Answer:

If both the mass and volume of the object are reduced to half, its density will remain unchanged.

Explanation:

The density of a substance is the amount of matter present in it per unit volume. In other words, it can be expressed mathematically as:

Density, ρ = m/v

Where m is the mass and v is the volume of the body.

If the mass and volume are halved then the mass and volume in the above equation for density will change as m/2 and v/2 respectively.

Then, ρ' = (m/2) / (v/2)

              = (m/2) × (2/v)

          ρ' = m/v

Since ρ and ρ' are the same, we can say that the density has not changed even if the mass and volume are halved.