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A man is standing on a straight road in a summer noon. The refractive index of the air changes with height as μ=μo1+y3meter due to variation of the vertical temperature where μo is the refractive index of the air at road surface and y height. Eyes of the man are at height of 1.5 m above the road. What is the apparently visible length of the road?

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a

35

b

25

c

45

d

65

answer is A.

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Detailed Solution

μosin900=μ01+1.53sinθsinθ=23,cotθ=52,cotθ=hl l=hcotθ=1.5×25=35m

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A man is standing on a straight road in a summer noon. The refractive index of the air changes with height as μ=μo1+y3meter due to variation of the vertical temperature where μo is the refractive index of the air at road surface and y height. Eyes of the man are at height of 1.5 m above the road. What is the apparently visible length of the road?