A compound

Given data-

Focal length of the objective lens, f_o = 1.0 cm

Focal length of the eyepiece , f_e = 5 cm

Distance between Object and objective lens, u₀ = 0.5 cm

Distance between image and eyepiece, v_e = 30 cm

Applying lens formula for objective lens

For compound microscope, the objective lens forms a virtual image at the side same as that of the

object at a distance of 1 cm from the objective lens.

This image formed by the objective lens acts as a virtual object for the eyepiece.

Now applying lens formula for the eyepiece

Hence the Separation between the objective and the eyepiece becomes

6 − 1 = 5 cm