A man is standing on a straight road in a summer noon. The refractive index of the air changes with height as μ$$=$$μ$$o1+y3meter$$ 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?

Question

A man is standing on a straight road in a summer noon. The refractive index of the air changes with height as μ$$=$$μ$$o1+y3meter$$ 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?

Infinity Learn · Accepted Answer

μ$$osin900=$$μ$$01+1.53sin$$θ$$sin$$θ$$=23$$,$$cot$$θ$$=52$$,$$cot$$θ$$=hl$$ $$l=hcot$$θ$$=1.5$$×$$25=35m$$

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