Final answer:
The state of matter with indefinite shape and indefinite volume that can carry a charge is plasma. It is primarily found in stars like the sun and is used in neon signs and plasma TVs. The correct answer to the question is 'D. plasma'.
Step-by-step explanation:
The state of matter that has indefinite shape and volume and carries a positive or negative charge is known as plasma. Solids have a definite shape and volume, liquids have a definite volume but no fixed shape, and gases have neither definite volume nor shape. However, plasma is similar to gases in that it has neither a definite shape nor volume, but it is also composed of electrically charged particles (ions and electrons), which gives it unique properties compared to the other states of matter.
For the given question, the correct option that describes a state of matter with an indefinite shape and volume and can carry electrical charges is 'D. plasma'. Plasmas are found in places such as the sun and other stars, as well as in technology like neon signs and plasma TVs.