$5.[0\mathrm{.}56/2$ Points$]$

of the lens.

$($a$)$ Determine the index of refraction of the lens material.

$($b$)$ The lens and mirror are $20\mathrm{.}0$ cm apart, and an object is placed $8\mathrm{.}14$ cm to the left of the lens. Determine the position $($in cm$)$ of the final image. $($Give its magnitude and location with respect to the lens.$)$

distance

location to the left of the lens $\backslash (\backslash$checkmark $\backslash )$

$($c$)$ Determine its magnification as seen by the eye in the figure.

$($d$)$ Is the final image inverted or upright?invertedupright

$($e$)$ For what initial object distance $($in cm $)$ would the final image form at exactly the same location as the object?

cm

What would be the magnification of the image in this case?

$\backslash ($ M$=\backslash )$