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Which state of matter is incompressible?

Answer
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Hint: There are 4 states of matter, solid, liquid, gas and plasma. Each state has its own properties and has their own inter molecular space. The more space between molecules, the matter becomes easier to compress. So the matter which has the lowest space between the molecules will be more incompressible.

Complete step by step answer:
There are different states of matter in which matter can exist.
There are 4 stages of matter that we can observe in our day-to-day life.
1. SOLID
2. LIQUID
3. GAS
4. PLASMA
In Solid, all the particles are closely and tightly packed to each other. They do not have space to get compressed. The particles in a solid can vibrate about their mean position when they get energy from some outside source, so they cannot move easily. So they are incompressible.
The liquid state is the intermediate state between solid and gas. Liquid particles have more space between them, so they are not fixed in their position. The attraction between the particles in a liquid keeps the volume of the liquid constant. The limited amount of space between particles means that liquids have only very limited compressibility.
Gas is a state of matter that has no fixed shape and no fixed volume. Gases have a lower density than other states of matter. There is plenty of space between the molecules. The amount of space provides easy compressibility of the gas.
Plasma is a state of matter that is often thought of as a subset of gases, but the two states behave very differently. Like gases, plasma has no fixed shape or volume and is less dense than solids and liquids. They also have limited compressibility.
So we conclude that Liquid, gas, and plasma have free-moving particles. Liquids and plasma are difficult to compress as compared to gas, but they all are compressible. Except solid since they are so rigid. Solids are incompressible.

Note: Matter is anything that has mass and volume. Everything around us is a matter. May it be solid, liquid, or gas. All the states of matter have different physical and chemical properties. It all depends upon the intermolecular spaces between them and this intermolecular space is also responsible for studying about the intermolecular forces acting between them.