0:00
Hello everyone.
00:01
Let's proceed to solve this question.
00:03
So we know the general equation of electric field, e is simply equal to e0, cos multiplied by, sorry, cos, and we know the general equation of magnetic field is again b0.
00:17
B is equal to b0, cos omega t minus kx plus 5.
00:23
So here omega is the angular frequency so this is the angular frequency k is simply the wave vector e0 and b0 is the maximum electric and magnetic fields so these are the maximum value of field the electric or the magnetic spin.
01:01
Now we are given e is equal to 2 .4 multiplied by 10 to b power 5 newton per column cost of 2 pi multiplied by t by 1 .5 multiplied by 10 to p power minus 15 minus x by 4 .3 by 4 .3 5 multiplied by 10 to the power minus 7 meter all right so this is the equation of the electric they given to us we need to say everything about this which we know so from let's mark this as equation number 1 and this equation number 2 now if this is the question number 3 compare equation 3 with 1 so if we compare these two equations from 1 we get that e0 will be equal to 2 .4 multiplied by 10 to the power 5 newton per bullet so the maximum electric field is this now also 2 pi gets so 2 pi gets multiplied with this also and with this also so omega can be written as omega will simply be equal to 2 pi divided by 1 .5 multiplied by 10 to t0 .5 multiplied by 10 to t 15 so this is what omega is if we want to further simplify this we can do that also so we know omega is 2 pi f so the value of omega is 2 pi multiplied by f and f is the frequency so here it is 2 pi divided by 1 .5 multiplied by 10 to the power minus 15 so 2 pi 2 pi gets cancelled outs and we get our frequency of this wave to be 1 by 1 5 multiplied by 10 to the power minus 15 hertz so this is what the frequency is all right so we can talk about time period also so the time period will simply be equal to one by frequency and this will be 1 .5 multiplied by 10 to the power 15 seconds as we know time period is 1 by frequency let's see what we have next we have the wave vector k in our equation so k in our equation is given as 1 by 4 .5 multiplied by 10 to 2 power 7 and if we multiply 2 pi with it.
03:47
Alright.
03:47
So i know the formula of wave vector.
03:50
So wave vector is simply equal to 2 pi divided by lambda and lambda is the wavelength of this electron, sorry the electric field.
04:01
So 4 .5 multiplied by 10 to 3 power minus 7...