What is the position and nature of image formed by lens combination shown in figure? ($f_1$, $f_2$ are focal lengths)

 

A plano-convex lens is made of a material of refractive index $n$. When a small object is placed $30 \mathrm{cm}$ away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex surface of the lens, another faint image is observed at a distance of $10 \mathrm{cm}$ away from the lens. Which of the following statement(s) is(are) true?

A transparent thin film of uniform thickness and refractive index $n_1=1.4$ is coated on the convex spherical surface of radius $R$ at one end of a long solid glass cylinder of refractive index $n_2=1.5$, as shown in the figure. Rays of light parallel to the axis of the cylinder traversing through the film from air to glass get focused at distance f from the film, while rays of light traversing from glass to air get focused at distance $f_2$ from the film, then: