Classical mechanics and Electrodynamics are two branches of physics that describe the behavior of objects in motion and the interaction of electric and magnetic fields, respectively. The theory of relativity, on the other hand, is a fundamental theory in physics that describes the behavior of objects in motion relative to each other, especially at high speeds or in the presence of strong gravitational fields.

Classical mechanics:
- Classical mechanics, also known as Newtonian mechanics, was developed by Sir Isaac Newton in the 17th century.
- It provides a framework for understanding the motion of objects based on Newton's laws of motion and the principles of conservation of energy and momentum.
- Classical mechanics is valid for objects moving at speeds much smaller than the speed of light and in weak gravitational fields.
- It does not take into account the effects of special relativity, such as time dilation and length contraction, that occur at high speeds.

Electrodynamics:
- Electrodynamics is the study of electric and magnetic fields, their interaction with each other, and their effects on charged particles.
- It is based on Maxwell's equations, which describe the behavior of electric and magnetic fields and their relationship to electric charges and currents.
- Electrodynamics is valid for objects moving at speeds much smaller than the speed of light.
- It does not take into account the effects of special relativity, such as the relativity of simultaneity and the transformation of electric and magnetic fields between different inertial reference frames.

Theory of relativity:
- The theory of relativity, specifically special relativity, was developed by Albert Einstein in the early 20th century.
- It is based on two postulates: the principle of relativity, which states that the laws of physics are the same in all inertial reference frames, and the constancy of the speed of light, which states that the speed of light in a vacuum is the same for all observers, regardless of their relative motion.
- Special relativity introduces concepts such as time dilation, length contraction, and the equivalence of mass and energy (E=mc^2).
- It provides a more comprehensive framework for understanding the behavior of objects at high speeds or in the presence of strong gravitational fields.

Correct statements:
a) Classical mechanics obeys theory of relativity - This statement is correct because classical mechanics is a valid approximation of the theory of relativity at low speeds and weak gravitational fields.
c) Electrodynamics obeys theory of relativity - This statement is correct because electrodynamics is consistent with the principles of special relativity, particularly the constancy of the speed of light and the transformation of electric and magnetic fields between different inertial reference frames.

Incorrect statements:
b) Classical mechanics and Electrodynamics do not obey theory of relativity - This statement is incorrect because both classical mechanics and electrodynamics are consistent with the principles of special relativity under certain conditions.
d) Classical mechanics does not obey theory of relativity - This statement is incorrect because classical mechanics is a valid approximation of the theory of relativity at low speeds and weak gravitational fields.

In conclusion, classical mechanics and electrodynamics do obey the theory of relativity, but only under certain conditions and within their respective domains of applicability. The theory of relativity provides a more comprehensive framework for understanding the behavior of objects at high speeds or in the presence of strong gravitational fields.