PRACTICE IT

Use the worked example above to help you solve this problem. A coin $1\mathrm{.}62$ cm in diameter is imbedded in a solid glass ball of radius $r=34\mathrm{.}3cm($see figure$).$ The index of refraction of the ball is $1\mathrm{.}50,$ and the coin is $d=22\mathrm{.}9cm$ from the surface.

$($a$)$ Find the position of the image of the coin.

$$ cm

$($b$)$ Find the height of the coin's image.

cm

EXERCISE

HINTS: GETTING STARTED

I$\text{'}$M STUCK!

A coin is embedded $22\mathrm{.}9$ cm from the surface of a similar ball of transparent substance having radius $34\mathrm{.}3$ cm and unknown composition. The coin's image is virtual and located $17\mathrm{.}2$ cm from the surface.

$($a$)$ Find the index of refraction of the substance.

$n=$

$($b$)$ Find the magnification.

$M=$