Which of the following statements are correct?
A. In a region of free space with electric field E, there is an energy density \( \frac{1}{2}\epsilon_0 E^2 \)
B. An electromagnetic wave contains both electric and magnetic field.
C. Electromagnetic waves do not exert pressure
D. Hertz could not establish the wave nature of radiation.
E. No material medium is required for vibrations of electric field and magnetic field.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.