(a) Draw a ray diagram to show image formation when the concave mirror produces a real, inverted and magnified image of the object. (b) Obtain the mirror formula and write the expression for the linear magnification. (c) Explain two advantages of a reflecting telescope over a refracting telescope.
Solution
(a) For an object between F and C of a concave mirror, the image is real, inverted and magnified (beyond C). (b) From similar triangles (△A′B′F∼△MPF and △ABP∼△A′B′P) and the sign convention:
v1+u1=f1,m=hh′=−uv
(c) Advantages of a reflecting telescope: (1) \emph{no chromatic aberration} (mirror objective); (2) a large-aperture parabolic mirror gives \emph{high resolving power and a bright image} and is free from spherical aberration.