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(a) Draw a ray diagram to show image fromation when theconcave mirror produces a real, inverted and magnified image of the object (b) Obtain the mirror formula and write the expression for theliner magnification. (c) Explain two advantages of a reflectingtelescope over a refracting telescope. |
Answer» Solution : (b) `Delta A'B'F'` andMPF 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) Reflectingtelescope have higher resolvingpowerdue to the LARGE aperture of mirror. (ii) Due to AVAILABILITY of paraboloidal mirror the IMAGE is FREE from chromatic and spherical aberration.
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