An astronomical telescope, consists of two thin lenses set $36 cm$ a part and has a magnifying power $8$. Calculate the focal length of the lenses.
$32 cm$
$18 cm$
$25 cm$
$36 cm$
Here, $f _o+f _e=36 cm$$M=-8$ (magnifying power is negative)Now, $M=\cfrac {f _o}{f _e}$$\therefore -8=-8=-\cfrac {f _o}{f _e}$$\Rightarrow f _o=8f _e$