किसी अल्प आयतन में वैद्युतचुंबकीय तरंग की ऊर्जा जिस आवृत्ति के साथ दोलन करती है, वह है

A शून्य आवृत्ति
B तरंग की आवृत्ति की आधी आवृत्ति
C तरंग की आवृत्ति की दोगुनी आवृत्ति
D तरंग की आवृत्ति

Verified Solution

Answer & Solution

Correct Answer

(C) तरंग की आवृत्ति की दोगुनी आवृत्ति

Step-by-step Solution

Detailed explanation

\(E=E_0 \sin (\omega t-k x)\) Energy density \(\left(\frac{d u}{d v}\right)=\varepsilon_0 E_0^2 \sin ^2(\omega t-k x)\) \(\frac{\varepsilon_0 E _0^2}{2}[1-\cos (2 \omega t -2 kx )]\)

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.

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