00:05
All right, so this is quite the challenging problem here where you have a mirror and a lens.
00:14
And not only do you have two optics, the object is in front of the focal point of the mirror, which causes it to be a virtual image, which makes it form behind what it looks like to be forming behind the mirror.
00:31
So like the problem is saying, there's going to be two images forming if we're at the right location.
00:40
So i created two ray diagrams simultaneously.
00:43
The green lines are the rays for the mirror that's located with a focal point of 2 .5 centimeters.
00:53
And the object itself is inside that focal point, which causes a virtual image to form.
01:00
So i formed that behind the mirror in red.
01:05
It's a larger image.
01:06
It is upright.
01:08
And that is always going to, that's going to be true for a virtual image in a concave mirror.
01:15
So over off to the side here, i've calculated where exactly does that image form? because we do need to know that for the last or the second question.
01:28
So the d .i.
01:30
For the mirror is at negative 10 centimeters.
01:32
Meaning it's behind the mirror 10 centimeters.
01:35
That's the optical illusion that it's forming.
01:38
It is upright and it is larger.
01:42
So we know that.
01:44
Now that is going to be that image.
01:46
We're going to treat as the object for the lens to see where does that second image form because we need to see both images.
01:55
So we need to locate where that will be.
01:58
So i'm using the big red arrow and i'm drawing the purple lines now.
02:03
The purple lines are the rays for going through the lens based on the virtual image that the mirror is forming.
02:15
And then we form that one back at the 0 .8 .1 centimeters from the lens.
02:27
And it's upside down and smaller.
02:29
Now, there is still one more set of rays that i can make.
02:35
And this is where i didn't put that on here because it just gets so overwhelmed with rays here.
02:43
But this is, i'm going to put this one in orange.
02:48
I just didn't want to make it so that you got confused.
02:51
The original object is still there, obviously.
02:55
So not only will the lens try to focus the virtual image that's being formed behind the mirror, but it's also going to try to focus the original object.
03:06
And i'm just going to make that drawing here.
03:09
Oops, let me, i need to get it so that i'm drawing a line.
03:13
I'll draw it in yellow.
03:15
Let's see if we can see that.
03:16
I don't want it to be an error, though.
03:22
There's so much going on here.
03:23
So we're going to hit the lens and then go through like so.
03:32
And then we're going to come through the front focal point and do that.
03:41
And we're going to get...