The volume of 500 g sealed packet is 250 cm³. The density of water is 1 g/cm³. Will the sealed packet sink or float in water?

CONCEPT:

Density

• The ratio of mass to volume of the body is known as the density of the material of the body.

\(\Rightarrow ρ=\frac{m}{V}\)

Where ρ = density, m = mass and V = volume

CALCULATION:

Given m = 500 g, V = 250 cm³ and ρ_w = 1 g/cm³

• We know that the density of the object is given as,

\(\Rightarrow ρ=\frac{m}{V}\)     -----(1)

By equation 1 the density of the packet is given as,

\(\Rightarrow ρ_{p}=\frac{m}{V}\)

\(\Rightarrow ρ_{p}=\frac{500}{250}\)

\(\Rightarrow ρ_{p}=2g/cm^3\)

\(\Rightarrow ρ_{p}>\rho_w\)

• As the density of the packet is greater than that of water, thus the packet will sink in water.

Hence, option 2 is correct.