Sun is very very far away from Earth (about 150 million km) and hence its rays can be considered to be parallel. In such a scenario, the image of the Sun will be formed at the focal point. Since the focal length of the telescope is 18 m, the image of the Sun will be formed 18 m from the telescope's mirror.
To determine the size of the image formed, we need to know the magnification of the telescope, which is the ratio of image distance to object distance.
Thus, magnification = image distance/object distance = 18 m/ (1.49 x 10^11 m)
And the size of the image formed by the telescope
= actual size of the object x its magnification
= 1.39 x 10^9 x 18 / (1.49 x 10^11) m = 0.168 m.
Thus, the telescope will produce a 0.168 m image of the Sun.
Hope this helps.
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