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

From parallax measurement, the sun is found to be at a distance of abo

1.	From parallax measurement, the sun is found to be at a distance of about 400 times the earth-moon distance. Estimate the ratio of sun-earth diameters.
Answer» Solution :From parallax measurement GIVEN that SUN is at a DISTANCE of about 100 times the earth- moon distance, HENCE `=(d_(sun))/(d_("moon"))=400` (Suppose, here r stands for distance and D for diameter) sun and moon both appear to be of the same angular diameter as seen from the earth. `:. (D_("sun"))/(d_(sun))=(D_("moon"))/(d_("moon"))` `:.(D_(sun))/(D_("moon"))=(d_(sun))/(d_("moon"))=400 ""..(1)` But `(D_("earth"))/(D_("moon"))=4 ""....(2)` By taking RATIO of (1) to (2), `:.(D_(sun))/(D_("eart"))=100`