For each of the following statements, write whether it is TRUE or FALSE and then provide a brief justification (about two sentences) for your answer.
(i) A refracting telescope with an achromatic doublet objective is completely free from spherical aberration.
(ii) A reflecting telescope can employ a thin, wide mirror because the mirror is supported from the back, whereas a large lens can be supported only at its rim.
(iii) Increasing the focal length of the eyepiece keeps the magnifying power of a telescope unchanged if the focal length of the objective is increased by the same factor.
(iv) A reflecting telescope of a given aperture collects more light than a refracting telescope of the same aperture.