मुक्त दिकस्थान (आकाश) में, किसी विधुत चुम्बकीय तरंग में विधुत क्षेत्र का वर्ग-माध्य-मूल मान, \(E _{ rms }=\) \(6\, V / m\) है, तो चुम्बकीय क्षेत्र का शिखर मान है :

A \(2.83 \times 10^{-9}\;T\)
B \(4.83 \times 10^{-8}\;T\)
C \(8.83 \times 10^{-8}\;T\)
D \(2.83 \times 10^{-8}\;T\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(2.83 \times 10^{-8}\;T\)

Step-by-step Solution

Detailed explanation

\(\text { Given: } E_{\mathrm{rms}}=6 \,\mathrm{Vm}^{-1}\) \(\frac{E_{\mathrm{rms}}}{B_{\mathrm{rms}}}=c\) or \(B_{\mathrm{rms}}=\frac{E_{\mathrm{rms}}}{c}\)

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

सूची \(I\) का सूची \(II\) से मिलान कीजिए:

सूची \(I\) (पदार्थ)	सूची \(II\) (चुम्बकीयप्रवृत्ति- \(\chi\) )
\(A\). प्रतिचुम्बकीय	\(I\). \(\chi=0\)
\(B\). लौह चुम्बकीय	\(II\). \(\ 0>\chi \geq-1\)
\(C\). अनुचुम्बकीय	\(II\)I. \( x>1\)
\(D\). Non-अचुम्बकीय	\(IV\). \( 0<\gamma<\varepsilon\) (एक सूक्ष्म धनात्मक संख्या)

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