(2) While drinking some boba tea, you want to stab a tapioca ball at the bottom of your tea with your straw. The tea is 9.53cm deep and your eyes are currently 27.6cm above the bottom of your glass (ng = 1.417). As you look at the tapioca ball, your gaze is 81.1° below the horizontal and does not look through the side of the glass. We can assume that boba tea and water have the same index of refraction (nµ (a) At what angle below horizontal should you insert your straw in order to hit the tapioca ball? (b) A ray of light travels from the air into the tea at an angle of 26.8°. It travels to the bottom where it passes from the tea to the glass. At what angle does the light make after entering the glass? (c) The light from part (b) continues through the glass and exits back into the air. What angle does the light make when it exits to the air? 1.33).

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(2) While drinking some boba tea, you want to stab a tapioca ball at the bottom of your
tea with your straw. The tea is 9.53cm deep and your eyes are currently 27.6cm above the
bottom of your glass (ng = 1.417). As you look at the tapioca ball, your gaze is 81.1° below
the horizontal and does not look through the side of the glass. We can assume that boba
tea and water have the same index of refraction (nw = 1.33).
(a) At what angle below horizontal should you insert your straw in order to hit the
tapioca ball?
(b) A ray of light travels from the air into the tea at an angle of 26.8°. It travels to the
bottom where it passes from the tea to the glass. At what angle does the light make after
entering the glass?
(c) The light from part (b) continues through the glass and exits back into the air. What
angle does the light make when it exits to the air?
(d) What is the critical angle between the glass and the tea?
Transcribed Image Text:(2) While drinking some boba tea, you want to stab a tapioca ball at the bottom of your tea with your straw. The tea is 9.53cm deep and your eyes are currently 27.6cm above the bottom of your glass (ng = 1.417). As you look at the tapioca ball, your gaze is 81.1° below the horizontal and does not look through the side of the glass. We can assume that boba tea and water have the same index of refraction (nw = 1.33). (a) At what angle below horizontal should you insert your straw in order to hit the tapioca ball? (b) A ray of light travels from the air into the tea at an angle of 26.8°. It travels to the bottom where it passes from the tea to the glass. At what angle does the light make after entering the glass? (c) The light from part (b) continues through the glass and exits back into the air. What angle does the light make when it exits to the air? (d) What is the critical angle between the glass and the tea?
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