Sarthaks Test
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(a) The earth-moon distance is about 60 earth radius. What will be the diameter of the earth (approximately in degrees) as seen from the moon? 

(b) Moon is seen to be of (½)°diameter from the earth. What must be the relative size compared to the earth? 

(c) 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.

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Diameter of the earth as seen from the moon is about 2°.

(b) At earth-moon distance, moon is seen as (1/2)° diameter and earth is seen as 2° diameter. Hence, diameter of earth is 4 times the diameter of moon.

Dearth/Dmoon = 4

(c) Rsun/rmoon = 400

(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.

(Dsun/rsun)/(Dmoon/rmoon)

(Dsun/Dmoon) = 400

But Dearth/Dmoon = 4 

Dsun/Dearth = 100.

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