Magnetic field in a plane electromagnetic wave is Bᵧ = 2 × 10⁻⁷ sin(π × 10³x + 3π × 10¹¹t) T. Calculate its wavelength:
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Question

Magnetic field in a plane electromagnetic wave is Bᵧ = 2 × 10⁻⁷ sin(π × 10³x + 3π × 10¹¹t) T. Calculate its wavelength:

G1 Physics · Accepted Answer

Step 1: A sinusoidal wave is written sin(kx ± ωt) with wave number k = 2π/λ. Step 2: Here k = π × 10³ rad/m. Step 3: λ = 2π/(π × 10³) = 2 × 10⁻³ m (option B). Final answer: (B) 2 × 10⁻³ m.