Question

1. which of the following statements about density is correct?

a) increasing the mass of an object will always increase its density.
b) decreasing the volume of an object will increase its density if the mass remains constant.
c) the density of a substance remains constant regardless of its state of matter.
d) density and mass are the same physical property

Explanation:

• For option a: Density is defined as $\frac{\text{mass}}{\text{volume}}$. If mass increases while volume also increases proportionally, density stays the same. So this statement is incorrect.
• For option b: Using the density formula $

ho = \frac{m}{V}$, if mass $m$ is constant and volume $V$ decreases, the value of $
ho$ (density) will increase. This statement is correct.

• For option c: The density of a substance changes with its state of matter. For example, water is less dense as ice (solid) than as liquid water, so this statement is incorrect.
• For option d: Density is a ratio of mass to volume, while mass is a measure of the amount of matter. They are distinct physical properties, so this statement is incorrect.

Answer:

b) Decreasing the volume of an object will increase its density if the mass remains constant.