The focal lengths of the objective and the eyepiece of a compound microscope are 2.0cm and 3.0cm, respectively. The distance between the objective and the eyepiece is 15.0cm. Th final image formed by the eyepiece is at infinity. The two lenses are thin. The distance, in cm, of the object and the image produced by the objective, mesured from the objective lens, are respectively.

Explanation

The eyepiece forms the final image at infinity.Its object should therefore lie at its focus. F denotes focus of eyepiece. I denotes image formed by the objective lens which serves as object for eyepiece. IT should be at 3cm from eyepiece.
`therefore v_0` for objective lens =15-3=12 cm (1)
`therefore 1/v_2-1/u_0=1/f_0` or
`1/12-1/mu_0=1/2`
`1/mu_0=1/12-1/2=-5 /12`
`1/mu_0=1/12-1/2= -5/12 `
or `mu_0=-2.4cm` From objective lens `mu_0=2.4cm `(to left) `v_0=12 cm` (to right)