00:01
Hello, in the question we have given that the side view mirror of an automobile has a radius of curvature of 11 .3.
00:11
So, the radius of curvature is given that is 11 .3.
00:14
So, from this i can interpret the focal length.
00:18
So, focal length is nothing but radius of curvature divided by 2.
00:22
So, that is 11 .3 divided by 2.
00:26
So, the focal length from here turns out to be 5 .65 centimeters.
00:33
So, this is the focal length.
00:35
Now, further the mirror produces a virtual image one third the size of object.
00:44
So, the size of image is given.
00:49
So, the height of image is equal to 1 by third height of object.
00:56
So, from this condition what i can do is i can use the magnification and i can find out the magnification as well.
01:04
So, we know that the magnification m is given by height of image divided by height of object.
01:21
So now, let us plug the value.
01:24
What is height of image? so, it is h naught divided by 3 and this h naught is as it is.
01:30
So, my magnification from here turns out to be 1 by 3.
01:35
So, if i know magnification is 1 by 3, then i have one more formula for magnification.
01:41
So, what is that? so, magnification is minus v by u.
01:49
So, therefore, 1 by 3 will be equal to minus v by u.
01:55
So, which implies that u is equal to minus of 3 times v.
02:02
So, i got this.
02:06
Now we will use the mirror formula.
02:15
So, now according to the mirror formula, we know that 1 upon f is equal to 1 upon u plus 1 upon v.
02:23
So, 1 upon f.
02:24
So, 1 upon focal length we considered that is 5 .65.
02:32
We calculated above...