Question

If a body is compressed to half its previous volume then what is the effect on density

Answer 1

Density is the ratio of mass to volume and hence we can say that density is inversely proportional to volume if mass is kept constant or its value is equal to 1...

D=m/v

Lets assume that mass is constant

Hence, D=m×1/v

If body is compressed half of its volume

Then D=m×1/1/2

Hence D=2×mass

Answer 2

Since density =mass / volume therefore, if the volume of a body is compressed to half of its previous volume, then the density will be doubled.

An explanation would be:

Initial Density=mass/Volume=m/V

and Volume is cut in half = V/2 => NewDensity = mass/V/2 = 2(m/V) = 2(Initial Density)