CBSE Class 11-science Answered
An observer on moon observes angular diameter of earth as (σπ)0. If the distance between earth and moon is 3.84×108m and the radius of earth is 6400 km, the find the value of σ
Asked by akshataggarwal7704 | 03 Mar, 2021, 10:52: PM
Expert Answer
Angle subtended by arc, θ = arc length / radius of arc = ( 
/ r )
/ r ) arc length = diameter of earth = 2 × 6400 km = 12800 km
= diameter of earth = 2 × 6400 km = 12800 kmradius of arc r = distance between earth and moon = 3.84 × 108 m
Angular diameter of earth from moon in radian = ( 12800 × 1000 ) / ( 3.84 × 108 ) = 3.333 × 10-2 rad
Angular diameter of earth from moon in degree = [ 3.333 × 10-2 × ( 180/π) ] o
If Angular diameter of earth is experessed as ( σ π )o , then σ = [ 3.333 × 10-2 × ( 180/π2) ] = 0.608
Answered by Thiyagarajan K | 04 Mar, 2021, 11:25: AM
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