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Question

from parallax measurement, the sun is found to be at a distance about 400 times the earth- moon distance. estimate the ratio of sun-earth diameters

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Solution

Given,
Distance of sun from earthDistance of moon from earth=rsunrmoon=400andDiameter of sunDiameter of earth=DsunDearth=?As seen from the earth, both sun and moon appear to be of same angular diameter.So,θ=Dsunrsun=DmoonrmoonDsunDmoon=rsunrmoon=400----(i)So, DearthDmoon=4 ---(ii)(Since RearthRmoon=4)Dividing (i) by (ii), we getDsunDearth=4004=100Or Dsun: Dearth=100:1

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