Comparing Einstein's and Newton's theories of gravitation, can the correspondence principle be applied? and Why or Why not?
a)Yes
b)No
Ans. a)YES
Correspondence principle in general says that any new physical theory (or any scientific theory) must reproduce the correct results of the old theory.
In the case of Einstein's theory of gravity (general relativity), when you have small gravitational fields with nothing moving too fast compared to the speed of light, for example, describing orbits of satellites around Earth, it should agree with the old theory of gravity, and it does, and that's why it obeys the correspondence principle.
The correspondence principle is a fundamental principle in physics that states that a new theory should reproduce the results of an older, well-established theory in the appropriate limit. In the case of comparing Einstein's theory of gravitation (General Relativity) with Newton's theory of gravitation (Classical Mechanics), the correspondence principle can be applied.
In the limit of weak gravitational fields and low speeds, Einstein's theory of gravitation reduces to Newton's theory of gravitation. This means that the equations and predictions of General Relativity converge towards those of Classical Mechanics when gravity is weak and speeds are much smaller than the speed of light.
Therefore, the correspondence principle can be applied in this case, because Einstein's theory of gravitation provides a more precise and accurate description of gravitational phenomena, while still reproducing the results of Newton's theory in appropriate limits.