JEE Mains · Physics · STD 12 - 8. Electromagnetic waves

The ratio of average electric energy density and total average energy density of electromagnetic wave is:

A \(2\)
B \(1\)
C \(3\)
D \(\frac{1}{2}\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{1}{2}\)

Step-by-step Solution

Detailed explanation

\(\left\langle u _{ E }\right\rangle=\left\langle u _{ B }\right\rangle=\frac{1}{2}\left\langle u _{\text {total }}\right\rangle\) So \(\frac{\left\langle u_E\right\rangle}{\left\langle u_{\text {total }}\right\rangle}=\frac{1}{2}\)

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.

Same subject

Match List \(- I\) with List \(- II\)

List\(-I\) (Layer of atmosphere)	List\(-II\) (Approximate height over earth's surface)
\((A)\) \(F_1\) - Layer	\((I)\) \(10\,km\)
\((B)\) \(D-\) Layer	\((II)\) \(170-190\,km\)
\((C)\) Troposphere	\((III)\) \(100\,km\)
\((D)\) \(E-\)layer	\((IV)\) \(65-75\,km\)

Choose the correct answer from the options given below:

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