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Sunlight is reflected off of a puddle of water ahead of a driver. The index of refraction of the water is 1.333. If a driver sits 1.5 m above the ground, at what distance from the driver will polarized sunglasses be most effective at blocking the reflected light from the puddle. Hint: What angle does light become maximally polarized? 5. A. 1.1m B. 3.0m C. 2.0 m D. 0.75 m E. 2.5m

1 Answer

5 votes

Answer:

option C is correct

distance from the driver is 2 m

Step-by-step explanation:

Given data

index of refraction of the water n = 1.333

driver height from ground= 1.5 m

to find out

What angle does light become maximally polarized and what distance from the driver will polarized

solution

we know that n1 for water = 1.33 and we know for air n2 = 1

so tan(θ) = n1 / n2

tan(θ) = 1.33 / 1

so (θ) = 53.06 degree

so for distance d will be calculate as

tan ( 90 - (θ) ) = height / distance

tan ( 90 - 53.06 ) = 1.5 / distance

distance = 1.5 / 0.7519

distance = 1.994 m = 2 m

so option C is correct

distance from the driver is 2 m

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