Consider three converging lenses `L_1, L_2 and L_3` having identical geometrical construction. The index of refraction of `L_1 and L_2 are mu_1 and mu_2` respectively. The upper half of the lens `L_3` has a refractive index `mu_1` and the lower half has `mu_2`. A point object O is imaged at `O_1` by the lens `L_1 and at O_2` by the lens `L_2` placed in same position . If `L_3` is placed at the same place.

Options

A. A. there will be an image at `O_1`
B. B. there will be an image at `O_2`
C. C. the only image will form somewhere between `O_1 and O_2`.
D. D. the only image will form away form `O_`.

Answer

A, B