To work this problem, use the fact that the image formed by the first surface becomes the object for the second surface. The figure below shows a piece of glass with index of refraction $n=1\mathrm{.}50$ surrounded by air. The ends are hemispheres with radii $R_1=2\mathrm{.}00cm$ and $R_2=4\mathrm{.}00cm,$ and the centers of the hemispherical ends are separated by a distance of $d=8\mathrm{.}50cm.$ A point object is in air, a distance of $p=1\mathrm{.}09cm$ from the left end of the glass.

$(1)$

$($a$)$ Locate the image of the object due to refraction at the two spherical surfaces.

Your response differs from the correct answer by more than $10\%.$ Double check your calculations. cm to the right of the second surface

$($b$)$ Is the image real or virtual?

real

virtual