AP EAMCET · PHYSICS · Electromagnetic Waves
If the magnetic field in a plane progressive wave is represented by the equation \(\mathrm{B}_{\mathrm{y}}=2 \times 10^{-7} \sin \left(0.5 \times 10^3 x+1.5 \pi \times 10^{11} \mathrm{t}\right) \mathrm{T}\), then the frequency of the wave is (In the equation time t is in second)
- A \(75 \times 10^9 \mathrm{~Hz}\)
- B \(150 \times 10^9 \mathrm{~Hz}\)
- C \(75 \times 10^7 \mathrm{~Hz}\)
- D \(150 \times 10^7 \mathrm{~Hz}\)
Answer & Solution
Correct Answer
(A) \(75 \times 10^9 \mathrm{~Hz}\)
Step-by-step Solution
Detailed explanation
\(\omega = 1.5 \pi \times 10^{11} \mathrm{~rad/s}\) \(f = \frac{\omega}{2\pi} = \frac{1.5 \pi \times 10^{11}}{2\pi} = 0.75 \times 10^{11} = 75 \times 10^9 \mathrm{~Hz}\)
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