ExamBro
ExamBro
AP EAMCET · PHYSICS · Electromagnetic Waves

Suppose that the electric field of an electromagnetic wave in vacuum is \(\mathbf{E}=\left(3.1 \mathrm{NC}^{-1}\right) \cos \left[1.8 \mathrm{rad} . \mathrm{m}^{-1}\right)\) \(\left.y+\left(5.4 \times 10^6 \mathrm{rad} \mathrm{s}^{-1}\right) t\right] \hat{\mathbf{i}}\). What is the wavelength \(\lambda\) ?

  1. A \(3.49 \mathrm{~m}\)
  2. B \(3.50 \mathrm{~m}\)
  3. C \(3.40 \mathrm{~m}\)
  4. D \(3.45 \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(3.49 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

Given that, equation of electric field of an electromagnetic wave in vacuum, \(\mathbf{E}=\left(3.1 \mathrm{NC}^{-1}\right)\) \(\cos \left[\left(1.8 \mathrm{rad} \mathrm{m}{ }^{-1}\right) y+\left(5.4 \times 10^6 \mathrm{rad} \mathrm{s}^{-1}\right) t\right] \hat{\mathbf{i}}\) We…