00:01
For this question, you want to find how many neutrinos are passing through a ceiling at a particular angle.
00:09
But to do that, we will first need to find out how many neutrinos are being generated per second.
00:15
We know that from my previous question, the rates of proton consumption is as follows.
00:27
It's the amount of protons that is consumed per second.
00:30
And we know that for every four protons consumed, two neutrinos are produced.
00:37
So the number of neutrinos that are produced, we just have to multiply this by 2 over 4, right, two neutrinos per 4 proton, which we get 1 .712.
00:56
And so this is the rate at which neutrinos are being emitted from the sun, right? radially in all directions but of course not all will be captured by our ceiling and it will depend on the area all the ceiling and in this particular case we are given the area is 180 meters square what we have to do is we take a ratio of this particular area over the entire surface area of the sphere, right, in which the radius is the distance from the sun to the earth.
01:48
This sphere is the sphere in which the neutrinos are being ejected out uniformly, and so the small area of the ceiling over here as a fraction of the entire surface area of the sphere will give us the proportion of neutrinos that are captured...