સૂક્ષ્મ કદમાં રહેલી વીજ ચુંબકીયતરંગની ઊર્જા ...... થી દોલન કરશે.

A શૂન્ય આવૃતિ
B તરંગની આવૃત્તિથી અડધી આવૃત્તિ
C તરંગની આવૃત્તિ કરતા બમણી આવૃત્તિ
D તરંગની આવૃત્તિ જેટલી આવૃત્તિ

Verified Solution

Answer & Solution

Correct Answer

(C) તરંગની આવૃત્તિ કરતા બમણી આવૃત્તિ

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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