00:01
Hi, in this question it is given that a light of intensity 1 watt per meter is moving and the frequency is 4 gigahertz and it is passing through a block of aluminum.
00:16
Then we need to find the electric field and magnetic field expression in which the direction of electric and magnetic field is along the y -axis and the wave is traveling in xx.
00:31
So as we know that e0 is equal to square root of 2i that is intensity divided by c into a epsilon where c is the speed of light and a epsilon is a constant value so if you put all this value here we will get e0 is equal to square root of 2 into 1 divided by speed of light is 3 into 10 dash with power 8 and a epsilon value is 8 into 8 5 into 10 x to the power minus 12 so if we solve this we will get e0 is equal to 27 .45 per meter now frequency is 4 gigahertz that is equal to 4 into 10 dash to the power 9 hertz so the wavelength corresponding to this frequency will be speed of light divided by f so speed of night is 3 into 10 dash to the power 8 divided by 4 into 10 dash to the power 9 and this will be in meter.
01:38
So if we solve this, we will get 0 .75 into 10 dash to the power minus 1 meter.
01:47
Now the angular frequency will be 2 pi f.
01:51
So if you put all this value, then we will get 8 pi into 10 dash to the power 9 radiance per second.
02:00
So if we solve this, the value of pi is 3 .14.
02:05
Therefore, if we multiply this, we will get 25 .1 .2 into 10...