Question NoT: Ce sinusoidal electromagnetic wave having magnetic field of amplit

Question

Question NoT: Ce sinusoidal electromagnetic wave having magnetic field of amplitude B 1.25uT speed of light(e).(3+3+4+3+3- 16 points) and a wawlength of -432nm is traveling in the + x direction with (a) What is the frequency 1) of this wave? (b) What is the amplituc (c) Write the wave equations for the electric and magnetic fields as a funce- tions of a and t (hint: Look at wave equation in formula sheet r,) be E(r.t) or B(x,t).) (d) Calculate average energy (uar) of the beam (e) Calculate the intensity(Sar) of the beam

Explanation / Answer

a) For any Electromagnetic wave, Frequency f, wavelength are related by :

Speed of light, c = f *

In our question, = 432 nm = 432 * 10-9 m

c = 3* 108 m/s

Hence, Frequency, f = c/ = 3* 108 m/s/ 432 * 10-9 m = 6.355 * 1014 s-1 or  6.355 * 1014 Hz

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