TS EAMCET · Physics · Electromagnetic Waves
If the magnetic field of a plane electromagnetic wave is given by \(5 \times 10^{-6} \sin \left(0.6 \times 10^2 x+0.5 \times 10^{10} t\right)\), then the speed of the wave is
- A \(0.83 \times 10^7 \mathrm{~m} / \mathrm{s}\)
- B \(0.83 \times 10^8 \mathrm{~m} / \mathrm{s}\)
- C \(5.24 \times 10^8 \mathrm{~m} / \mathrm{s}\)
- D \(5.24 \times 10^9 \mathrm{~m} / \mathrm{s}\)
Answer & Solution
Correct Answer
(B) \(0.83 \times 10^8 \mathrm{~m} / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} \text { Given, } k & =\frac{2 \pi}{\lambda}=0.6 \times 10^2 \mathrm{~m}^{-1} \\ \omega & =\frac{2 \pi}{T}=0.5 \times 10^{10} \mathrm{~s}^{-1} \\ \Rightarrow \text { Velocity, } \quad v & =\omega / k=\frac{2 \pi}{T} \times \frac{\lambda}{2 \pi}=\frac{0.5 \times…
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