(a) Draw a ray diagram to show image fromation 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 liner magnification.
(c) Explain two advantages of a reflecting telescope over a refracting telescope.

Explanation

(b) `Delta A'B'F'` and MPF are similar
So, `(A'B')/(MP) = (B'F')/(FP)" "…(i)`
`Delta ABF` and `A'B'P'` are similar
`(A'B')/(BP)=(B'P)/(BP)" "....(ii)`
`MP = AB " "("by gemoetry")`
`(A'B')/(AB) = (B'F')/(ER) " "...(iii)`
Equate (ii) and (iii)
`(B'P)/(BP) = (B'F)/(FP) " "(-v)/(-mu) = (B'P - FP)/(EP)`
`(V)/(mu) = ((-V)-(-f))/(-f)" "(-vf)/(Uvf)=(-Uv + Uf)/(U v f)`
`-(1)/(f)=-(1)/(v) + (1)/(U) " "(1)/(f) = - (1)/(v) + (1)/(U)`
Form equation (ii),
`(A'B)/(AB) = (B'P)/(BP) " "(-h')/(h)= (-v)/(-U)`
`m = (-h')/(h) = (-v)/(U)" "m = v//U`
(c) (i) Reflecting telescope have higher resolving power due to the large aperture of mirror.
(ii) Due to availability of paraboloidal mirror the image is free from chromatic and spherical aberration.