Find the magnifying power of a compound microscope whose objective has a focal power of 100D and eyepiece has a focal power of 16D when the object is placed at a distance of 1.1cm, from the objective. Assume that the final image is formed at the least distance of distinct vision, 25cm.

Find the magnifying power of a compound microscope whose objective has

1.	Find the magnifying power of a compound microscope whose objective has a focal power of 100D and eyepiece has a focal power of 16D when the object is placed at a distance of 1.1cm, from the objective. Assume that the final image is formed at the least distance of distinct vision, 25cm.
Answer» SOLUTION :The magnifying power of a COMPOUND microscope when the final image forms at the least distance of distinct vision `m=v_0/u [1+D/f_e]` To find `v_0`, , Power of the objective `p_0=100D` Focal length of the objective `f=f_0=1/p_0=1/100 m=100/100 cm=1cm` `u=u_0=-1.1cm , v=v_0=?` FOra LENS `1/f=1/v-1/u` `1/1=1/v_0-1/(1.1),1/v_0=1/1-1/1.1=0.1/1.1, v_0=1.1cm` Power of the eyepiece `p_e=16D` focal length of the eyepiece `f_e=1/p_e=1/16m=100/16 cm=6.25 cm`, Least distance of distinct vision `D=25cm` `therefore m=11/(-1.1) (1+25/6.25)=-10 times 5=-50`