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

एक विधुत चुम्बकीय तरंग को, विधुत क्षेत्र \(\overrightarrow{ E }= E _{0} \hat{ n } \sin [\omega t +(6 y -8 z )]\), से निरूपित किया जाता है। यदि \(x, y\) तथा \(z\) दिशा में इकाई सदिश क्रमशः \(\hat{ i }, \hat{ j }, \hat{ k }\), हैं संचरण की दिशा \(\hat{ s }\), के लिये सही विकल्प है?

  1. A \(\hat S = \left( {\frac{{ - 3\hat j + 4\hat k}}{5}} \right)\)
  2. B \(\hat S = \left( {\frac{{ 4\hat j - 3\hat k}}{5}} \right)\)
  3. C \(\hat S = \left( {\frac{{ - 4\hat k + 3\hat j}}{5}} \right)\)
  4. D \(\hat S = \left( {\frac{{ - 3\hat i - 4\hat j}}{5}} \right)\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\hat S = \left( {\frac{{ - 3\hat j + 4\hat k}}{5}} \right)\)

Step-by-step Solution

Detailed explanation

\(\overrightarrow{\mathrm{E}}=\mathrm{E}_{0} \hat{\mathrm{n}} \sin \left(\omega \mathrm{t}+(6 \mathrm{y}-8 \mathrm{z})=\mathrm{E}_{0} \hat{\mathrm{n}} \sin (\omega \mathrm{t}+\overrightarrow{\mathrm{k}} \cdot \overrightarrow{\mathrm{r}})\right.\) where…
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