$($a$).$ A $632$ nm light enters a liquid from air at an angle of $34$ with respect to the normal and is refracted into the liquid at an angle of $28$ with respect to the normal.

$($i$).$ What is the angle between the incident rays and the reflected

ray?

$(1\mathrm{.}0$ point$)$

$($ii$).$ What is the index of refraction of the liquid?

$($iii$).$ What is the speed of the light in the liquid?

$($b$).$ A $2\mathrm{.}0$ m tall object is $40$ cm in front of a converging lens that has a $20$ cm focal length. Determine the position of the image and describe the image.