The moon is observed using a telescope that has an objectivelens with a focal le

Question

The moon is observed using a telescope that has an objectivelens with a focal length of 3.0 m and an eyepiece with a focallength of 7.5 cm. What is the angular diameter of the moon if theearth-moon distance is 3.85 × 108 m and thediameter of the moon is 3.48 × 106 m?

a. 4.7 rad
b. 0.36 rad
c. 22 rad
d. 40 rad
e. 9.0 rad The moon is observed using a telescope that has an objectivelens with a focal length of 3.0 m and an eyepiece with a focallength of 7.5 cm. What is the angular diameter of the moon if theearth-moon distance is 3.85 × 108 m and thediameter of the moon is 3.48 × 106 m? 4.7 rad 0.36 rad 22 rad 40 rad 9.0 rad

Explanation / Answer

the angle made by earth on moon is tan = ((dm/2)/dem) or = tan-1((dm/2)/dem)----------(1) dm= 3.48 * 106 m dem= 3.85 * 108 m substituting the above values in equation (1) we get = tan-1((dm/2)/dem) =tan-1((3.48 * 106/2)/3.85 * 108) =tan-1(1.74 * 106/3.85 * 108) =0.26 rad therefore,the angular diameter of the moon is = 0.26rad

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