00:01
Here, in this question, we have to find out the gain and beam width between the nulls of a parabolic reflector.
00:18
So to find out these values, first we will find the gain that is g and this is found using the formula pi multiplied to d to the power 2 upon lambda to the power 2 multiplied to the efficiency.
00:43
So here we can say that d is the diameter of reflector, lambda is the wavelength of signal and this is for the aperture efficiency and beam width is calculated between nulls using the formula theta is equal to 70 multiplied to lambda upon d and the variables have the same meaning as that of the gain.
01:47
That is lambda is for the wavelength of signal and d is the diameter of reflector.
02:07
Now talking about the given values, then they are diameter is given to us as 2 meter and next is the frequency is given to us as 6 gigahertz.
02:21
Now first of all, we will calculate the wavelength.
02:27
So we know that lambda that is the wavelength is equal to c upon f where c is the speed of light and we know that approximately speed of light is 3 multiplied to 10 to the power 8 meter per second and frequency is given to us as 6 gigahertz.
02:45
So it will be 6 multiplied to 10 to the power 9 hertz.
02:49
Now on solving this, we will get the value of wavelength that is lambda as 0 .05 meter or it can also be 5 centimeter.
02:59
So this is the value of wavelength which we have got...