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Question 17.1: Sample Exercise: Viewing an Object from Underwater A girl sw...

Sample Exercise: Viewing an Object from Underwater
A girl swimming underwater views a dragonfly hovering over her in the air. The dragonfly appears to be about 60 cm above the water surface. What is the actual height of the dragonfly above the water?
Since the object (the dragonfly) is in air, the light is traveling initially in air, so:

n_{1} = 1.00

 

n_{2} = 1.33

 

i = 60 cm

 

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i= o  \frac{n_{2}}{n_{1}}

 

o= i  \frac{n_{1}}{n_{2}}

 

= 60  cm  \frac{1}{1.33}

= 45 cm

(The object is actually closer to the water surface than it appears to be.)

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