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antoniya [11.8K]
4 years ago
9

An electromagnetic wave has an electric field given by

Physics
1 answer:
inysia [295]4 years ago
4 0

Answer:

λ = 157 μm

Explanation:

given,

\vec{E}(y,t)=[ 3.9\times 10^5\ V/m cos(ky-(1.20\times 10^{13}\ rad/s )t)]\vec{k}

now,

ω = 1.2 x 10¹³ rad/s

f =\dfrac{\omega}{2\pi}

f =\dfrac{1.2\times 10^{13}}{2\pi}

f = 1.91 x 10¹² Hz

determine the wavelength of the E M wave

 \lambda = \dfrac{c}{f}

 \lambda = \dfrac{3\times 10^8}{1.91\times 10^{12}}

   λ = 1.57 x 10⁻⁴ m

   λ = 157 x 10⁻⁶ m

   λ = 157 μm

hence, the wavelength of the wave is equal to λ = 157 μm

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4 years ago
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