1) the correct answer is
"It will be larger and upright."
Let's see why. By looking at the green and purple rays, we can see that they diverge on the left, so they never meet on the left. Therefore we should prolong them to the right, behind the mirror (see attached figure) and if we do that, we can see that they meet at some point at the same height of the green ray. This means that the image is larger than the original object, and also upright.
2) the distance between the image and the mirror is 24 cm.
We can solve the problem by using the mirror equation:
[tex] \frac{1}{f}= \frac{1}{d_o}+ \frac{1}{d_i} [/tex]
where f is the focal length, [tex]d_o[/tex] the distance of the object from the mirror, [tex]d_i[/tex] the distance of the image from the mirror.
We must also be careful to use the right sign convention. For a concave mirror, the focal length is taken as positive, so f=+24.0 cm, and [tex]d_o = 12.0cm[/tex]. By solving the equation, we find
[tex] \frac{1}{d_i} = \frac{1}{f}- \frac{1}{d_o}= \frac{1}{24 cm}- \frac{1}{12 cm}=- \frac{1}{24 cm} [/tex]
from which we have
[tex]d_i=-24 cm[/tex]
so, the image is located 24 cm from the mirror, behind it (because of the negative sign, that tells us that the image is virtual)
3) The right answer is :
X --> convex
Y --> concave
Why that? the reason is the following: the image produced by convex mirrors is always smaller than the original object. This also means that convex mirrors can cover a wide field of view, so they are particularly usefule as side mirrors in the car or to see traffic around blind corners.
Vice-versa, concave mirrors can produce images larger than the original objects, so they are used in dental instruments (to enlarge what there is inside the mouth) or in telescope (to enlarge the image of the planets or celestial objects).
4) The correct answer is:
"concave, because plane and convex mirrors produce only upright virtual images"
In fact, images produced by convex mirrors are always virtual, as well the images produced by a plane mirror, while concave mirrors can produce both real and virtual images, depending on the distance of the object from the mirror. Since in this example the image produced by the mirror is real, the mirror can only be concave.
5) The correct answer is:
"It is virtual and behind the mirror."
In fact, the image is located on the right of the mirror, so on the opposite side with respect to the real object: this means that the image is virtual, i.e. located behind the mirror.
6) Correct answer is: X.
To see where the image is located, we must prolong the ray that goes from Z (the eye) to the mirror, and then prolonging it behind the mirror we can see that at some point it reaches X, and this is exactly where the image is located.
