An electromagnatic wave is traveling in vacuum with frequency 5.7 x 10 14 Hz. Th

Question

An electromagnatic wave is traveling in vacuum with frequency 5.7 x 1014 Hz. The wave has average total energy density of 5.9 x 10-6 J/m3.(a) What is the speed of this wave?

v =  m/s       *
3e8   OK

(b) What is the wavelength of this wave?

l =  m       *
5.26e-7   OK

(c) What is the maximum electric field of this wave?

Emax =  V/m      
1008.5   NO

(d) What is the rms magnetic field of this wave?

Brms =  T      
2.377e-6   NO

(e) How much energy does a 2 m2 flat surface (perpendicular to the wave propagation direction) receive in 11 s?

E =  J      
27945   NO

(f) How long does it take for this wave to travel from the sun to the earth?

t =  min       *
8.33   OK

(g) How many wavelengths of the wave fit in this distance?

N =  wavelengths       *
2.85e17   OK

HELP PLEASE :(

Explanation / Answer

According to the question we know that

Part a) What is the speed of this wave?

Answer) speed of this wave = 3.0 * 10 ^ 8 m/s ========answer)

Part b) What is the wavelength of this wave?

Answer) Lambda = c/f = 3.0 * 10 ^ 8 m/s / 5.7 x 1014 Hz = 5.26e-7 m =======answer)

Part c) What is the maximum electric field of this wave?

Answer) we know that E = sqrt(2U/e0) = sqrt ( 2 * 5.9 x 10-6 J/m3 / 8.85 * 10 ^ -12 ) = 1154.700 V/M =====answer)

Part d) What is the rms magnetic field of this wave?

Answer) B = sqrt(U/(2* 4 *pie * 10 ^ -7 ) = sqrt ( 5.9 x 10-6 J/m3 / 2 * 3.14 * 4 * 10 ^ -7 ) = 1.53255542 / sqrt (2) = 1.08368033 T ============answer)

Allowed to answer only 4 sub parts at a time According to the chegg guidelines.

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