एक समतल विधुत चुम्बकीय तरंग मुक्त आकाश में \(x\)-दिशा में गतिशील है। आकाश के एक विशेष बिन्दु पर तरंग का विधुत क्षेत्र घटक, एक समय पर \(E =6\) \(V m ^{-1} y\)-दिशा में है। उसके संगत इसका चुम्बकीय क्षेत्र घटक \(B\) होगा ?

A \(z\)-दिशा में \(2 \times 10^{-8} T\)
B \(x\)-दिशा में \(6 \times 10^{-8} T\)
C \(z\)-दिशा में \(6 \times 10^{-8} T\)
D \(y\)-दिशा में \(2 \times 10^{-8} T\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(z\)-दिशा में \(2 \times 10^{-8} T\)

Step-by-step Solution

Detailed explanation

The direction of propagation of an \(EM\) wave is direction of \(\overrightarrow{\mathrm{E}} \times \overrightarrow{\mathrm{B}}\) \(\hat{\mathrm{i}}=\hat{\mathrm{j}} \times \hat{\mathrm{B}}\) \(\Rightarrow \hat{\mathrm{B}}=\hat{\mathrm{k}}\)…

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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